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Finding the Fourth Proportional to 951.64, 1,313.25 and 532.00

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Solution

The fourth proportional to 951.64, 1,313.25 and 532.00 is: 734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.64 : 1,313.25 = 532.00 : x
  2. Step 2: Convert to fraction form
    951.64/1,313.25 = 532.00/x
  3. Step 3: Cross multiply
    951.64x = 1,313.25 × 532.00
  4. Step 4: Simplify right side
    951.64x = 698,645.72
  5. Step 5: Solve for x
    x = 698,645.72/951.64
  6. Step 6: Final answer
    x = 734.15

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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.