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Finding the Fourth Proportional to 874.74, 1,312.14 and 713.54

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Solution

The fourth proportional to 874.74, 1,312.14 and 713.54 is: 1,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.74 : 1,312.14 = 713.54 : x
  2. Step 2: Convert to fraction form
    874.74/1,312.14 = 713.54/x
  3. Step 3: Cross multiply
    874.74x = 1,312.14 × 713.54
  4. Step 4: Simplify right side
    874.74x = 936,264.38
  5. Step 5: Solve for x
    x = 936,264.38/874.74
  6. Step 6: Final answer
    x = 1,070.33

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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.