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Finding the Fourth Proportional to 963.76, 1,330.00 and 565.70

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Solution

The fourth proportional to 963.76, 1,330.00 and 565.70 is: 780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.76 : 1,330.00 = 565.70 : x
  2. Step 2: Convert to fraction form
    963.76/1,330.00 = 565.70/x
  3. Step 3: Cross multiply
    963.76x = 1,330.00 × 565.70
  4. Step 4: Simplify right side
    963.76x = 752,388.59
  5. Step 5: Solve for x
    x = 752,388.59/963.76
  6. Step 6: Final answer
    x = 780.68

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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.