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Finding the Fourth Proportional to 928.72, 1,391.64 and 586

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Solution

The fourth proportional to 928.72, 1,391.64 and 586 is: 878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.72 : 1,391.64 = 586 : x
  2. Step 2: Convert to fraction form
    928.72/1,391.64 = 586/x
  3. Step 3: Cross multiply
    928.72x = 1,391.64 × 586
  4. Step 4: Simplify right side
    928.72x = 815,501.04
  5. Step 5: Solve for x
    x = 815,501.04/928.72
  6. Step 6: Final answer
    x = 878.09

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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.