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Finding the Fourth Proportional to 1,161.69, 1,602.84 and 689.56

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Solution

The fourth proportional to 1,161.69, 1,602.84 and 689.56 is: 951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.69 : 1,602.84 = 689.56 : x
  2. Step 2: Convert to fraction form
    1,161.69/1,602.84 = 689.56/x
  3. Step 3: Cross multiply
    1,161.69x = 1,602.84 × 689.56
  4. Step 4: Simplify right side
    1,161.69x = 1,105,250.34
  5. Step 5: Solve for x
    x = 1,105,250.34/1,161.69
  6. Step 6: Final answer
    x = 951.42

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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.