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Finding the Fourth Proportional to 807.03, 1,113.75 and 457.92

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Solution

The fourth proportional to 807.03, 1,113.75 and 457.92 is: 631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.03 : 1,113.75 = 457.92 : x
  2. Step 2: Convert to fraction form
    807.03/1,113.75 = 457.92/x
  3. Step 3: Cross multiply
    807.03x = 1,113.75 × 457.92
  4. Step 4: Simplify right side
    807.03x = 510,008.40
  5. Step 5: Solve for x
    x = 510,008.40/807.03
  6. Step 6: Final answer
    x = 631.96

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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.