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Finding the Fourth Proportional to 1,134.04, 1,564.98 and 742.12

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Solution

The fourth proportional to 1,134.04, 1,564.98 and 742.12 is: 1,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.04 : 1,564.98 = 742.12 : x
  2. Step 2: Convert to fraction form
    1,134.04/1,564.98 = 742.12/x
  3. Step 3: Cross multiply
    1,134.04x = 1,564.98 × 742.12
  4. Step 4: Simplify right side
    1,134.04x = 1,161,402.96
  5. Step 5: Solve for x
    x = 1,161,402.96/1,134.04
  6. Step 6: Final answer
    x = 1,024.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.