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Finding the Fourth Proportional to 760.90, 1,138.62 and 742.68

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Solution

The fourth proportional to 760.90, 1,138.62 and 742.68 is: 1,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.90 : 1,138.62 = 742.68 : x
  2. Step 2: Convert to fraction form
    760.90/1,138.62 = 742.68/x
  3. Step 3: Cross multiply
    760.90x = 1,138.62 × 742.68
  4. Step 4: Simplify right side
    760.90x = 845,630.30
  5. Step 5: Solve for x
    x = 845,630.30/760.90
  6. Step 6: Final answer
    x = 1,111.36

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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.