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Finding the Fourth Proportional to 1,135.22, 1,566.86 and 742.02

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Solution

The fourth proportional to 1,135.22, 1,566.86 and 742.02 is: 1,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.22 : 1,566.86 = 742.02 : x
  2. Step 2: Convert to fraction form
    1,135.22/1,566.86 = 742.02/x
  3. Step 3: Cross multiply
    1,135.22x = 1,566.86 × 742.02
  4. Step 4: Simplify right side
    1,135.22x = 1,162,641.46
  5. Step 5: Solve for x
    x = 1,162,641.46/1,135.22
  6. Step 6: Final answer
    x = 1,024.16

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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.