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Finding the Fourth Proportional to 659.66, 986.57 and 587.05

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Solution

The fourth proportional to 659.66, 986.57 and 587.05 is: 877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.66 : 986.57 = 587.05 : x
  2. Step 2: Convert to fraction form
    659.66/986.57 = 587.05/x
  3. Step 3: Cross multiply
    659.66x = 986.57 × 587.05
  4. Step 4: Simplify right side
    659.66x = 579,160.52
  5. Step 5: Solve for x
    x = 579,160.52/659.66
  6. Step 6: Final answer
    x = 877.97

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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.