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Finding the Fourth Proportional to 660.59, 899.39 and 658.53

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Solution

The fourth proportional to 660.59, 899.39 and 658.53 is: 896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.59 : 899.39 = 658.53 : x
  2. Step 2: Convert to fraction form
    660.59/899.39 = 658.53/x
  3. Step 3: Cross multiply
    660.59x = 899.39 × 658.53
  4. Step 4: Simplify right side
    660.59x = 592,272.00
  5. Step 5: Solve for x
    x = 592,272.00/660.59
  6. Step 6: Final answer
    x = 896.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.