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Finding the Fourth Proportional to 1,259.70, 1,738.42 and 700.15

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Solution

The fourth proportional to 1,259.70, 1,738.42 and 700.15 is: 966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.70 : 1,738.42 = 700.15 : x
  2. Step 2: Convert to fraction form
    1,259.70/1,738.42 = 700.15/x
  3. Step 3: Cross multiply
    1,259.70x = 1,738.42 × 700.15
  4. Step 4: Simplify right side
    1,259.70x = 1,217,146.92
  5. Step 5: Solve for x
    x = 1,217,146.92/1,259.70
  6. Step 6: Final answer
    x = 966.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.