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Finding the Fourth Proportional to 807.57, 1,114.38 and 476.01

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Solution

The fourth proportional to 807.57, 1,114.38 and 476.01 is: 656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.57 : 1,114.38 = 476.01 : x
  2. Step 2: Convert to fraction form
    807.57/1,114.38 = 476.01/x
  3. Step 3: Cross multiply
    807.57x = 1,114.38 × 476.01
  4. Step 4: Simplify right side
    807.57x = 530,456.02
  5. Step 5: Solve for x
    x = 530,456.02/807.57
  6. Step 6: Final answer
    x = 656.85

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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.