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Finding the Fourth Proportional to 877.46, 1,317.54 and 741.56

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Solution

The fourth proportional to 877.46, 1,317.54 and 741.56 is: 1,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.46 : 1,317.54 = 741.56 : x
  2. Step 2: Convert to fraction form
    877.46/1,317.54 = 741.56/x
  3. Step 3: Cross multiply
    877.46x = 1,317.54 × 741.56
  4. Step 4: Simplify right side
    877.46x = 977,034.96
  5. Step 5: Solve for x
    x = 977,034.96/877.46
  6. Step 6: Final answer
    x = 1,113.48

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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.