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Finding the Fourth Proportional to 649.89, 972.63 and 632.34

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Solution

The fourth proportional to 649.89, 972.63 and 632.34 is: 946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.89 : 972.63 = 632.34 : x
  2. Step 2: Convert to fraction form
    649.89/972.63 = 632.34/x
  3. Step 3: Cross multiply
    649.89x = 972.63 × 632.34
  4. Step 4: Simplify right side
    649.89x = 615,032.85
  5. Step 5: Solve for x
    x = 615,032.85/649.89
  6. Step 6: Final answer
    x = 946.36

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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.