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Finding the Fourth Proportional to 869.97, 1,200.59 and 477.02

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Solution

The fourth proportional to 869.97, 1,200.59 and 477.02 is: 658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.97 : 1,200.59 = 477.02 : x
  2. Step 2: Convert to fraction form
    869.97/1,200.59 = 477.02/x
  3. Step 3: Cross multiply
    869.97x = 1,200.59 × 477.02
  4. Step 4: Simplify right side
    869.97x = 572,705.44
  5. Step 5: Solve for x
    x = 572,705.44/869.97
  6. Step 6: Final answer
    x = 658.30

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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.