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Finding the Fourth Proportional to 1,306.69, 1,802.79 and 746.75

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Solution

The fourth proportional to 1,306.69, 1,802.79 and 746.75 is: 1,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.69 : 1,802.79 = 746.75 : x
  2. Step 2: Convert to fraction form
    1,306.69/1,802.79 = 746.75/x
  3. Step 3: Cross multiply
    1,306.69x = 1,802.79 × 746.75
  4. Step 4: Simplify right side
    1,306.69x = 1,346,237.94
  5. Step 5: Solve for x
    x = 1,346,237.94/1,306.69
  6. Step 6: Final answer
    x = 1,030.27

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.