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Finding the Fourth Proportional to 928.99, 1,394.87 and 584.50

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Solution

The fourth proportional to 928.99, 1,394.87 and 584.50 is: 877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.99 : 1,394.87 = 584.50 : x
  2. Step 2: Convert to fraction form
    928.99/1,394.87 = 584.50/x
  3. Step 3: Cross multiply
    928.99x = 1,394.87 × 584.50
  4. Step 4: Simplify right side
    928.99x = 815,301.52
  5. Step 5: Solve for x
    x = 815,301.52/928.99
  6. Step 6: Final answer
    x = 877.62

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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.