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Finding the Fourth Proportional to 1,275.70, 1,759.98 and 777.97

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Solution

The fourth proportional to 1,275.70, 1,759.98 and 777.97 is: 1,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.70 : 1,759.98 = 777.97 : x
  2. Step 2: Convert to fraction form
    1,275.70/1,759.98 = 777.97/x
  3. Step 3: Cross multiply
    1,275.70x = 1,759.98 × 777.97
  4. Step 4: Simplify right side
    1,275.70x = 1,369,211.64
  5. Step 5: Solve for x
    x = 1,369,211.64/1,275.70
  6. Step 6: Final answer
    x = 1,073.30

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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.