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Finding the Fourth Proportional to 731.69, 1,097.37 and 211.69

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Solution

The fourth proportional to 731.69, 1,097.37 and 211.69 is: 317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.69 : 1,097.37 = 211.69 : x
  2. Step 2: Convert to fraction form
    731.69/1,097.37 = 211.69/x
  3. Step 3: Cross multiply
    731.69x = 1,097.37 × 211.69
  4. Step 4: Simplify right side
    731.69x = 232,302.26
  5. Step 5: Solve for x
    x = 232,302.26/731.69
  6. Step 6: Final answer
    x = 317.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.