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Finding the Fourth Proportional to 963.96, 1,330.38 and 570.96

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Solution

The fourth proportional to 963.96, 1,330.38 and 570.96 is: 787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.96 : 1,330.38 = 570.96 : x
  2. Step 2: Convert to fraction form
    963.96/1,330.38 = 570.96/x
  3. Step 3: Cross multiply
    963.96x = 1,330.38 × 570.96
  4. Step 4: Simplify right side
    963.96x = 759,593.76
  5. Step 5: Solve for x
    x = 759,593.76/963.96
  6. Step 6: Final answer
    x = 787.99

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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.