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Finding the Fourth Proportional to 646.65, 965.59 and 508.14

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Solution

The fourth proportional to 646.65, 965.59 and 508.14 is: 758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.65 : 965.59 = 508.14 : x
  2. Step 2: Convert to fraction form
    646.65/965.59 = 508.14/x
  3. Step 3: Cross multiply
    646.65x = 965.59 × 508.14
  4. Step 4: Simplify right side
    646.65x = 490,654.90
  5. Step 5: Solve for x
    x = 490,654.90/646.65
  6. Step 6: Final answer
    x = 758.76

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Why These Related Problems?

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