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Finding the Fourth Proportional to 987.19, 1,480.79 and 410.07

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Solution

The fourth proportional to 987.19, 1,480.79 and 410.07 is: 615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.19 : 1,480.79 = 410.07 : x
  2. Step 2: Convert to fraction form
    987.19/1,480.79 = 410.07/x
  3. Step 3: Cross multiply
    987.19x = 1,480.79 × 410.07
  4. Step 4: Simplify right side
    987.19x = 607,227.56
  5. Step 5: Solve for x
    x = 607,227.56/987.19
  6. Step 6: Final answer
    x = 615.11

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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.