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Finding the Fourth Proportional to 649.83, 968.57 and 632.52

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Solution

The fourth proportional to 649.83, 968.57 and 632.52 is: 942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.83 : 968.57 = 632.52 : x
  2. Step 2: Convert to fraction form
    649.83/968.57 = 632.52/x
  3. Step 3: Cross multiply
    649.83x = 968.57 × 632.52
  4. Step 4: Simplify right side
    649.83x = 612,641.48
  5. Step 5: Solve for x
    x = 612,641.48/649.83
  6. Step 6: Final answer
    x = 942.77

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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.