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Finding the Fourth Proportional to 811.68, 1,215.90 and 502.80

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Solution

The fourth proportional to 811.68, 1,215.90 and 502.80 is: 753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.68 : 1,215.90 = 502.80 : x
  2. Step 2: Convert to fraction form
    811.68/1,215.90 = 502.80/x
  3. Step 3: Cross multiply
    811.68x = 1,215.90 × 502.80
  4. Step 4: Simplify right side
    811.68x = 611,354.52
  5. Step 5: Solve for x
    x = 611,354.52/811.68
  6. Step 6: Final answer
    x = 753.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.