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Finding the Fourth Proportional to 644.58, 964.73 and 586.93

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Solution

The fourth proportional to 644.58, 964.73 and 586.93 is: 878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.58 : 964.73 = 586.93 : x
  2. Step 2: Convert to fraction form
    644.58/964.73 = 586.93/x
  3. Step 3: Cross multiply
    644.58x = 964.73 × 586.93
  4. Step 4: Simplify right side
    644.58x = 566,229.92
  5. Step 5: Solve for x
    x = 566,229.92/644.58
  6. Step 6: Final answer
    x = 878.45

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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.