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Finding the Fourth Proportional to 807.03, 1,113.53 and 557.95

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Solution

The fourth proportional to 807.03, 1,113.53 and 557.95 is: 769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.03 : 1,113.53 = 557.95 : x
  2. Step 2: Convert to fraction form
    807.03/1,113.53 = 557.95/x
  3. Step 3: Cross multiply
    807.03x = 1,113.53 × 557.95
  4. Step 4: Simplify right side
    807.03x = 621,294.06
  5. Step 5: Solve for x
    x = 621,294.06/807.03
  6. Step 6: Final answer
    x = 769.85

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