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Finding the Fourth Proportional to 898.29, 1,239.57 and 505.24

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Solution

The fourth proportional to 898.29, 1,239.57 and 505.24 is: 697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.29 : 1,239.57 = 505.24 : x
  2. Step 2: Convert to fraction form
    898.29/1,239.57 = 505.24/x
  3. Step 3: Cross multiply
    898.29x = 1,239.57 × 505.24
  4. Step 4: Simplify right side
    898.29x = 626,280.35
  5. Step 5: Solve for x
    x = 626,280.35/898.29
  6. Step 6: Final answer
    x = 697.19

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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.