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Finding the Fourth Proportional to 898.02, 1,238.90 and 525.02

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Solution

The fourth proportional to 898.02, 1,238.90 and 525.02 is: 724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.02 : 1,238.90 = 525.02 : x
  2. Step 2: Convert to fraction form
    898.02/1,238.90 = 525.02/x
  3. Step 3: Cross multiply
    898.02x = 1,238.90 × 525.02
  4. Step 4: Simplify right side
    898.02x = 650,438.46
  5. Step 5: Solve for x
    x = 650,438.46/898.02
  6. Step 6: Final answer
    x = 724.30

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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.