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Finding the Fourth Proportional to 987.64, 1,480.97 and 467.53

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Solution

The fourth proportional to 987.64, 1,480.97 and 467.53 is: 701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.64 : 1,480.97 = 467.53 : x
  2. Step 2: Convert to fraction form
    987.64/1,480.97 = 467.53/x
  3. Step 3: Cross multiply
    987.64x = 1,480.97 × 467.53
  4. Step 4: Simplify right side
    987.64x = 692,395.37
  5. Step 5: Solve for x
    x = 692,395.37/987.64
  6. Step 6: Final answer
    x = 701.06

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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.