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Finding the Fourth Proportional to 959.57, 1,440.13 and 497.49

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Solution

The fourth proportional to 959.57, 1,440.13 and 497.49 is: 746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.57 : 1,440.13 = 497.49 : x
  2. Step 2: Convert to fraction form
    959.57/1,440.13 = 497.49/x
  3. Step 3: Cross multiply
    959.57x = 1,440.13 × 497.49
  4. Step 4: Simplify right side
    959.57x = 716,445.96
  5. Step 5: Solve for x
    x = 716,445.96/959.57
  6. Step 6: Final answer
    x = 746.63

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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.