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Finding the Fourth Proportional to 512.91, 763.18 and 511.18

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Solution

The fourth proportional to 512.91, 763.18 and 511.18 is: 760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.91 : 763.18 = 511.18 : x
  2. Step 2: Convert to fraction form
    512.91/763.18 = 511.18/x
  3. Step 3: Cross multiply
    512.91x = 763.18 × 511.18
  4. Step 4: Simplify right side
    512.91x = 390,119.17
  5. Step 5: Solve for x
    x = 390,119.17/512.91
  6. Step 6: Final answer
    x = 760.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.