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Finding the Fourth Proportional to 1,400.42, 2,096.96 and 987.32

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Solution

The fourth proportional to 1,400.42, 2,096.96 and 987.32 is: 1,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.42 : 2,096.96 = 987.32 : x
  2. Step 2: Convert to fraction form
    1,400.42/2,096.96 = 987.32/x
  3. Step 3: Cross multiply
    1,400.42x = 2,096.96 × 987.32
  4. Step 4: Simplify right side
    1,400.42x = 2,070,370.55
  5. Step 5: Solve for x
    x = 2,070,370.55/1,400.42
  6. Step 6: Final answer
    x = 1,478.39

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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.