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Finding the Fourth Proportional to 987.90, 1,482.06 and 338.70

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Solution

The fourth proportional to 987.90, 1,482.06 and 338.70 is: 508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.90 : 1,482.06 = 338.70 : x
  2. Step 2: Convert to fraction form
    987.90/1,482.06 = 338.70/x
  3. Step 3: Cross multiply
    987.90x = 1,482.06 × 338.70
  4. Step 4: Simplify right side
    987.90x = 501,973.72
  5. Step 5: Solve for x
    x = 501,973.72/987.90
  6. Step 6: Final answer
    x = 508.12

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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.