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Finding the Fourth Proportional to 1,114.86, 1,539.03 and 742.45

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Solution

The fourth proportional to 1,114.86, 1,539.03 and 742.45 is: 1,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.86 : 1,539.03 = 742.45 : x
  2. Step 2: Convert to fraction form
    1,114.86/1,539.03 = 742.45/x
  3. Step 3: Cross multiply
    1,114.86x = 1,539.03 × 742.45
  4. Step 4: Simplify right side
    1,114.86x = 1,142,652.82
  5. Step 5: Solve for x
    x = 1,142,652.82/1,114.86
  6. Step 6: Final answer
    x = 1,024.93

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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.