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Finding the Fourth Proportional to 956.07, 1,319.55 and 557.80

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Solution

The fourth proportional to 956.07, 1,319.55 and 557.80 is: 769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.07 : 1,319.55 = 557.80 : x
  2. Step 2: Convert to fraction form
    956.07/1,319.55 = 557.80/x
  3. Step 3: Cross multiply
    956.07x = 1,319.55 × 557.80
  4. Step 4: Simplify right side
    956.07x = 736,044.99
  5. Step 5: Solve for x
    x = 736,044.99/956.07
  6. Step 6: Final answer
    x = 769.87

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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.