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Finding the Fourth Proportional to 646.14, 966.96 and 508.05

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Solution

The fourth proportional to 646.14, 966.96 and 508.05 is: 760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.14 : 966.96 = 508.05 : x
  2. Step 2: Convert to fraction form
    646.14/966.96 = 508.05/x
  3. Step 3: Cross multiply
    646.14x = 966.96 × 508.05
  4. Step 4: Simplify right side
    646.14x = 491,264.03
  5. Step 5: Solve for x
    x = 491,264.03/646.14
  6. Step 6: Final answer
    x = 760.31

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Why These Related Problems?

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