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Finding the Fourth Proportional to 898.47, 1,239.80 and 505.42

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Solution

The fourth proportional to 898.47, 1,239.80 and 505.42 is: 697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.47 : 1,239.80 = 505.42 : x
  2. Step 2: Convert to fraction form
    898.47/1,239.80 = 505.42/x
  3. Step 3: Cross multiply
    898.47x = 1,239.80 × 505.42
  4. Step 4: Simplify right side
    898.47x = 626,614.09
  5. Step 5: Solve for x
    x = 626,614.09/898.47
  6. Step 6: Final answer
    x = 697.42

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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.