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Finding the Fourth Proportional to 669.02, 1,001.13 and 586.52

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Solution

The fourth proportional to 669.02, 1,001.13 and 586.52 is: 877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.02 : 1,001.13 = 586.52 : x
  2. Step 2: Convert to fraction form
    669.02/1,001.13 = 586.52/x
  3. Step 3: Cross multiply
    669.02x = 1,001.13 × 586.52
  4. Step 4: Simplify right side
    669.02x = 587,182.77
  5. Step 5: Solve for x
    x = 587,182.77/669.02
  6. Step 6: Final answer
    x = 877.68

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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.