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Finding the Fourth Proportional to 962.60, 1,440.91 and 522.76

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Solution

The fourth proportional to 962.60, 1,440.91 and 522.76 is: 782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.60 : 1,440.91 = 522.76 : x
  2. Step 2: Convert to fraction form
    962.60/1,440.91 = 522.76/x
  3. Step 3: Cross multiply
    962.60x = 1,440.91 × 522.76
  4. Step 4: Simplify right side
    962.60x = 753,240.29
  5. Step 5: Solve for x
    x = 753,240.29/962.60
  6. Step 6: Final answer
    x = 782.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.