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Finding the Fourth Proportional to 987.37, 1,478.46 and 832.91

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Solution

The fourth proportional to 987.37, 1,478.46 and 832.91 is: 1,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.37 : 1,478.46 = 832.91 : x
  2. Step 2: Convert to fraction form
    987.37/1,478.46 = 832.91/x
  3. Step 3: Cross multiply
    987.37x = 1,478.46 × 832.91
  4. Step 4: Simplify right side
    987.37x = 1,231,424.12
  5. Step 5: Solve for x
    x = 1,231,424.12/987.37
  6. Step 6: Final answer
    x = 1,247.18

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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.