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Finding the Fourth Proportional to 742.14, 1,111.77 and 494.67

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Solution

The fourth proportional to 742.14, 1,111.77 and 494.67 is: 741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.14 : 1,111.77 = 494.67 : x
  2. Step 2: Convert to fraction form
    742.14/1,111.77 = 494.67/x
  3. Step 3: Cross multiply
    742.14x = 1,111.77 × 494.67
  4. Step 4: Simplify right side
    742.14x = 549,959.27
  5. Step 5: Solve for x
    x = 549,959.27/742.14
  6. Step 6: Final answer
    x = 741.05

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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.