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Finding the Fourth Proportional to 1,282.56, 1,769.88 and 715.37

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Solution

The fourth proportional to 1,282.56, 1,769.88 and 715.37 is: 987.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.56 : 1,769.88 = 715.37 : x
  2. Step 2: Convert to fraction form
    1,282.56/1,769.88 = 715.37/x
  3. Step 3: Cross multiply
    1,282.56x = 1,769.88 × 715.37
  4. Step 4: Simplify right side
    1,282.56x = 1,266,119.06
  5. Step 5: Solve for x
    x = 1,266,119.06/1,282.56
  6. Step 6: Final answer
    x = 987.18

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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.