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Finding the Fourth Proportional to 1,060.20, 1,587.84 and 512.16

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Solution

The fourth proportional to 1,060.20, 1,587.84 and 512.16 is: 767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.20 : 1,587.84 = 512.16 : x
  2. Step 2: Convert to fraction form
    1,060.20/1,587.84 = 512.16/x
  3. Step 3: Cross multiply
    1,060.20x = 1,587.84 × 512.16
  4. Step 4: Simplify right side
    1,060.20x = 813,228.13
  5. Step 5: Solve for x
    x = 813,228.13/1,060.20
  6. Step 6: Final answer
    x = 767.05

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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.