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Finding the Fourth Proportional to 1,750.97, 2,626.45 and 710.97

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Solution

The fourth proportional to 1,750.97, 2,626.45 and 710.97 is: 1,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.97 : 2,626.45 = 710.97 : x
  2. Step 2: Convert to fraction form
    1,750.97/2,626.45 = 710.97/x
  3. Step 3: Cross multiply
    1,750.97x = 2,626.45 × 710.97
  4. Step 4: Simplify right side
    1,750.97x = 1,867,316.86
  5. Step 5: Solve for x
    x = 1,867,316.86/1,750.97
  6. Step 6: Final answer
    x = 1,066.44

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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.