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Finding the Fourth Proportional to 1,747.55, 2,621.28 and 707.54

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Solution

The fourth proportional to 1,747.55, 2,621.28 and 707.54 is: 1,061.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.55 : 2,621.28 = 707.54 : x
  2. Step 2: Convert to fraction form
    1,747.55/2,621.28 = 707.54/x
  3. Step 3: Cross multiply
    1,747.55x = 2,621.28 × 707.54
  4. Step 4: Simplify right side
    1,747.55x = 1,854,647.34
  5. Step 5: Solve for x
    x = 1,854,647.34/1,747.55
  6. Step 6: Final answer
    x = 1,061.29

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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.