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Finding the Fourth Proportional to 898.89, 1,240.05 and 584.13

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Solution

The fourth proportional to 898.89, 1,240.05 and 584.13 is: 805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.89 : 1,240.05 = 584.13 : x
  2. Step 2: Convert to fraction form
    898.89/1,240.05 = 584.13/x
  3. Step 3: Cross multiply
    898.89x = 1,240.05 × 584.13
  4. Step 4: Simplify right side
    898.89x = 724,350.41
  5. Step 5: Solve for x
    x = 724,350.41/898.89
  6. Step 6: Final answer
    x = 805.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.