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Finding the Fourth Proportional to 646.54, 968.10 and 509.86

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Solution

The fourth proportional to 646.54, 968.10 and 509.86 is: 763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.54 : 968.10 = 509.86 : x
  2. Step 2: Convert to fraction form
    646.54/968.10 = 509.86/x
  3. Step 3: Cross multiply
    646.54x = 968.10 × 509.86
  4. Step 4: Simplify right side
    646.54x = 493,595.47
  5. Step 5: Solve for x
    x = 493,595.47/646.54
  6. Step 6: Final answer
    x = 763.44

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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.