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Finding the Fourth Proportional to 748.76, 1,032.89 and 468.94

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Solution

The fourth proportional to 748.76, 1,032.89 and 468.94 is: 646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.76 : 1,032.89 = 468.94 : x
  2. Step 2: Convert to fraction form
    748.76/1,032.89 = 468.94/x
  3. Step 3: Cross multiply
    748.76x = 1,032.89 × 468.94
  4. Step 4: Simplify right side
    748.76x = 484,356.09
  5. Step 5: Solve for x
    x = 484,356.09/748.76
  6. Step 6: Final answer
    x = 646.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.