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Finding the Fourth Proportional to 748.52, 1,032.96 and 468.60

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Solution

The fourth proportional to 748.52, 1,032.96 and 468.60 is: 646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.52 : 1,032.96 = 468.60 : x
  2. Step 2: Convert to fraction form
    748.52/1,032.96 = 468.60/x
  3. Step 3: Cross multiply
    748.52x = 1,032.96 × 468.60
  4. Step 4: Simplify right side
    748.52x = 484,045.06
  5. Step 5: Solve for x
    x = 484,045.06/748.52
  6. Step 6: Final answer
    x = 646.67

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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.