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Finding the Fourth Proportional to 987.16, 1,480.94 and 410.08

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Solution

The fourth proportional to 987.16, 1,480.94 and 410.08 is: 615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.16 : 1,480.94 = 410.08 : x
  2. Step 2: Convert to fraction form
    987.16/1,480.94 = 410.08/x
  3. Step 3: Cross multiply
    987.16x = 1,480.94 × 410.08
  4. Step 4: Simplify right side
    987.16x = 607,303.88
  5. Step 5: Solve for x
    x = 607,303.88/987.16
  6. Step 6: Final answer
    x = 615.20

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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.