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Finding the Fourth Proportional to 1,284.38, 1,772.47 and 753.65

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Solution

The fourth proportional to 1,284.38, 1,772.47 and 753.65 is: 1,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.38 : 1,772.47 = 753.65 : x
  2. Step 2: Convert to fraction form
    1,284.38/1,772.47 = 753.65/x
  3. Step 3: Cross multiply
    1,284.38x = 1,772.47 × 753.65
  4. Step 4: Simplify right side
    1,284.38x = 1,335,809.38
  5. Step 5: Solve for x
    x = 1,335,809.38/1,284.38
  6. Step 6: Final answer
    x = 1,040.04

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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.