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Finding the Fourth Proportional to 987.08, 1,361.74 and 593.88

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Solution

The fourth proportional to 987.08, 1,361.74 and 593.88 is: 819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.08 : 1,361.74 = 593.88 : x
  2. Step 2: Convert to fraction form
    987.08/1,361.74 = 593.88/x
  3. Step 3: Cross multiply
    987.08x = 1,361.74 × 593.88
  4. Step 4: Simplify right side
    987.08x = 808,710.15
  5. Step 5: Solve for x
    x = 808,710.15/987.08
  6. Step 6: Final answer
    x = 819.30

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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.