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Finding the Fourth Proportional to 987.04, 1,480.96 and 524.72

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Solution

The fourth proportional to 987.04, 1,480.96 and 524.72 is: 787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.04 : 1,480.96 = 524.72 : x
  2. Step 2: Convert to fraction form
    987.04/1,480.96 = 524.72/x
  3. Step 3: Cross multiply
    987.04x = 1,480.96 × 524.72
  4. Step 4: Simplify right side
    987.04x = 777,089.33
  5. Step 5: Solve for x
    x = 777,089.33/987.04
  6. Step 6: Final answer
    x = 787.29

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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.