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Finding the Fourth Proportional to 649.01, 972.70 and 511.51

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Solution

The fourth proportional to 649.01, 972.70 and 511.51 is: 766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.01 : 972.70 = 511.51 : x
  2. Step 2: Convert to fraction form
    649.01/972.70 = 511.51/x
  3. Step 3: Cross multiply
    649.01x = 972.70 × 511.51
  4. Step 4: Simplify right side
    649.01x = 497,545.78
  5. Step 5: Solve for x
    x = 497,545.78/649.01
  6. Step 6: Final answer
    x = 766.62

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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.