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Finding the Fourth Proportional to 898.29, 1,239.70 and 520.23

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Solution

The fourth proportional to 898.29, 1,239.70 and 520.23 is: 717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.29 : 1,239.70 = 520.23 : x
  2. Step 2: Convert to fraction form
    898.29/1,239.70 = 520.23/x
  3. Step 3: Cross multiply
    898.29x = 1,239.70 × 520.23
  4. Step 4: Simplify right side
    898.29x = 644,929.13
  5. Step 5: Solve for x
    x = 644,929.13/898.29
  6. Step 6: Final answer
    x = 717.95

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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.