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Finding the Fourth Proportional to 1,432.69, 2,144.49 and 772.93

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Solution

The fourth proportional to 1,432.69, 2,144.49 and 772.93 is: 1,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.69 : 2,144.49 = 772.93 : x
  2. Step 2: Convert to fraction form
    1,432.69/2,144.49 = 772.93/x
  3. Step 3: Cross multiply
    1,432.69x = 2,144.49 × 772.93
  4. Step 4: Simplify right side
    1,432.69x = 1,657,540.66
  5. Step 5: Solve for x
    x = 1,657,540.66/1,432.69
  6. Step 6: Final answer
    x = 1,156.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.