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Finding the Fourth Proportional to 898.24, 1,239.57 and 505.27

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Solution

The fourth proportional to 898.24, 1,239.57 and 505.27 is: 697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.24 : 1,239.57 = 505.27 : x
  2. Step 2: Convert to fraction form
    898.24/1,239.57 = 505.27/x
  3. Step 3: Cross multiply
    898.24x = 1,239.57 × 505.27
  4. Step 4: Simplify right side
    898.24x = 626,317.53
  5. Step 5: Solve for x
    x = 626,317.53/898.24
  6. Step 6: Final answer
    x = 697.27

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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.