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Finding the Fourth Proportional to 898.32, 1,239.68 and 505.34

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Solution

The fourth proportional to 898.32, 1,239.68 and 505.34 is: 697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.32 : 1,239.68 = 505.34 : x
  2. Step 2: Convert to fraction form
    898.32/1,239.68 = 505.34/x
  3. Step 3: Cross multiply
    898.32x = 1,239.68 × 505.34
  4. Step 4: Simplify right side
    898.32x = 626,462.04
  5. Step 5: Solve for x
    x = 626,462.04/898.32
  6. Step 6: Final answer
    x = 697.37

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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.