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Finding the Fourth Proportional to 1,284.57, 1,773.02 and 760.50

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Solution

The fourth proportional to 1,284.57, 1,773.02 and 760.50 is: 1,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.57 : 1,773.02 = 760.50 : x
  2. Step 2: Convert to fraction form
    1,284.57/1,773.02 = 760.50/x
  3. Step 3: Cross multiply
    1,284.57x = 1,773.02 × 760.50
  4. Step 4: Simplify right side
    1,284.57x = 1,348,383.61
  5. Step 5: Solve for x
    x = 1,348,383.61/1,284.57
  6. Step 6: Final answer
    x = 1,049.68

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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.