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Finding the Fourth Proportional to 734.32, 1,013.08 and 458.48

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Solution

The fourth proportional to 734.32, 1,013.08 and 458.48 is: 632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.32 : 1,013.08 = 458.48 : x
  2. Step 2: Convert to fraction form
    734.32/1,013.08 = 458.48/x
  3. Step 3: Cross multiply
    734.32x = 1,013.08 × 458.48
  4. Step 4: Simplify right side
    734.32x = 464,476.92
  5. Step 5: Solve for x
    x = 464,476.92/734.32
  6. Step 6: Final answer
    x = 632.53

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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.