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Finding the Fourth Proportional to 1,167.57, 1,750.49 and 705.25

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Solution

The fourth proportional to 1,167.57, 1,750.49 and 705.25 is: 1,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.57 : 1,750.49 = 705.25 : x
  2. Step 2: Convert to fraction form
    1,167.57/1,750.49 = 705.25/x
  3. Step 3: Cross multiply
    1,167.57x = 1,750.49 × 705.25
  4. Step 4: Simplify right side
    1,167.57x = 1,234,527.81
  5. Step 5: Solve for x
    x = 1,234,527.81/1,167.57
  6. Step 6: Final answer
    x = 1,057.34

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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.