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Finding the Fourth Proportional to 1,115.72, 1,539.74 and 742.06

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Solution

The fourth proportional to 1,115.72, 1,539.74 and 742.06 is: 1,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.72 : 1,539.74 = 742.06 : x
  2. Step 2: Convert to fraction form
    1,115.72/1,539.74 = 742.06/x
  3. Step 3: Cross multiply
    1,115.72x = 1,539.74 × 742.06
  4. Step 4: Simplify right side
    1,115.72x = 1,142,579.46
  5. Step 5: Solve for x
    x = 1,142,579.46/1,115.72
  6. Step 6: Final answer
    x = 1,024.07

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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.