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Finding the Fourth Proportional to 1,284.59, 1,772.73 and 760.65

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Solution

The fourth proportional to 1,284.59, 1,772.73 and 760.65 is: 1,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.59 : 1,772.73 = 760.65 : x
  2. Step 2: Convert to fraction form
    1,284.59/1,772.73 = 760.65/x
  3. Step 3: Cross multiply
    1,284.59x = 1,772.73 × 760.65
  4. Step 4: Simplify right side
    1,284.59x = 1,348,427.07
  5. Step 5: Solve for x
    x = 1,348,427.07/1,284.59
  6. Step 6: Final answer
    x = 1,049.70

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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.