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Finding the Fourth Proportional to 1,275, 1,759.60 and 715.46

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Solution

The fourth proportional to 1,275, 1,759.60 and 715.46 is: 987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275 : 1,759.60 = 715.46 : x
  2. Step 2: Convert to fraction form
    1,275/1,759.60 = 715.46/x
  3. Step 3: Cross multiply
    1,275x = 1,759.60 × 715.46
  4. Step 4: Simplify right side
    1,275x = 1,258,923.42
  5. Step 5: Solve for x
    x = 1,258,923.42/1,275
  6. Step 6: Final answer
    x = 987.39

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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.