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Finding the Fourth Proportional to 1,398.56, 2,098.74 and 532.86

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Solution

The fourth proportional to 1,398.56, 2,098.74 and 532.86 is: 799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.56 : 2,098.74 = 532.86 : x
  2. Step 2: Convert to fraction form
    1,398.56/2,098.74 = 532.86/x
  3. Step 3: Cross multiply
    1,398.56x = 2,098.74 × 532.86
  4. Step 4: Simplify right side
    1,398.56x = 1,118,334.60
  5. Step 5: Solve for x
    x = 1,118,334.60/1,398.56
  6. Step 6: Final answer
    x = 799.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.