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Finding the Fourth Proportional to 646.38, 968.76 and 508.88

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Solution

The fourth proportional to 646.38, 968.76 and 508.88 is: 762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.38 : 968.76 = 508.88 : x
  2. Step 2: Convert to fraction form
    646.38/968.76 = 508.88/x
  3. Step 3: Cross multiply
    646.38x = 968.76 × 508.88
  4. Step 4: Simplify right side
    646.38x = 492,985.01
  5. Step 5: Solve for x
    x = 492,985.01/646.38
  6. Step 6: Final answer
    x = 762.69

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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.