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Finding the Fourth Proportional to 987.32, 1,362.59 and 738.20

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Solution

The fourth proportional to 987.32, 1,362.59 and 738.20 is: 1,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.32 : 1,362.59 = 738.20 : x
  2. Step 2: Convert to fraction form
    987.32/1,362.59 = 738.20/x
  3. Step 3: Cross multiply
    987.32x = 1,362.59 × 738.20
  4. Step 4: Simplify right side
    987.32x = 1,005,863.94
  5. Step 5: Solve for x
    x = 1,005,863.94/987.32
  6. Step 6: Final answer
    x = 1,018.78

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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.