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Finding the Fourth Proportional to 987.98, 1,482.38 and 729.29

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Solution

The fourth proportional to 987.98, 1,482.38 and 729.29 is: 1,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.98 : 1,482.38 = 729.29 : x
  2. Step 2: Convert to fraction form
    987.98/1,482.38 = 729.29/x
  3. Step 3: Cross multiply
    987.98x = 1,482.38 × 729.29
  4. Step 4: Simplify right side
    987.98x = 1,081,073.85
  5. Step 5: Solve for x
    x = 1,081,073.85/987.98
  6. Step 6: Final answer
    x = 1,094.23

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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.