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Finding the Fourth Proportional to 748.30, 1,032.54 and 468.40

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Solution

The fourth proportional to 748.30, 1,032.54 and 468.40 is: 646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.30 : 1,032.54 = 468.40 : x
  2. Step 2: Convert to fraction form
    748.30/1,032.54 = 468.40/x
  3. Step 3: Cross multiply
    748.30x = 1,032.54 × 468.40
  4. Step 4: Simplify right side
    748.30x = 483,641.74
  5. Step 5: Solve for x
    x = 483,641.74/748.30
  6. Step 6: Final answer
    x = 646.32

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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.