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Finding the Fourth Proportional to 898.28, 1,239.77 and 505.43

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Solution

The fourth proportional to 898.28, 1,239.77 and 505.43 is: 697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.28 : 1,239.77 = 505.43 : x
  2. Step 2: Convert to fraction form
    898.28/1,239.77 = 505.43/x
  3. Step 3: Cross multiply
    898.28x = 1,239.77 × 505.43
  4. Step 4: Simplify right side
    898.28x = 626,616.95
  5. Step 5: Solve for x
    x = 626,616.95/898.28
  6. Step 6: Final answer
    x = 697.57

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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.