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Finding the Fourth Proportional to 964.18, 1,330.23 and 571.15

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Solution

The fourth proportional to 964.18, 1,330.23 and 571.15 is: 787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.18 : 1,330.23 = 571.15 : x
  2. Step 2: Convert to fraction form
    964.18/1,330.23 = 571.15/x
  3. Step 3: Cross multiply
    964.18x = 1,330.23 × 571.15
  4. Step 4: Simplify right side
    964.18x = 759,760.86
  5. Step 5: Solve for x
    x = 759,760.86/964.18
  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.