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Finding the Fourth Proportional to 1,132.44, 1,701.94 and 750.12

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Solution

The fourth proportional to 1,132.44, 1,701.94 and 750.12 is: 1,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.44 : 1,701.94 = 750.12 : x
  2. Step 2: Convert to fraction form
    1,132.44/1,701.94 = 750.12/x
  3. Step 3: Cross multiply
    1,132.44x = 1,701.94 × 750.12
  4. Step 4: Simplify right side
    1,132.44x = 1,276,659.23
  5. Step 5: Solve for x
    x = 1,276,659.23/1,132.44
  6. Step 6: Final answer
    x = 1,127.35

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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.