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Finding the Fourth Proportional to 901.56, 1,350 and 772.39

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Solution

The fourth proportional to 901.56, 1,350 and 772.39 is: 1,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.56 : 1,350 = 772.39 : x
  2. Step 2: Convert to fraction form
    901.56/1,350 = 772.39/x
  3. Step 3: Cross multiply
    901.56x = 1,350 × 772.39
  4. Step 4: Simplify right side
    901.56x = 1,042,726.50
  5. Step 5: Solve for x
    x = 1,042,726.50/901.56
  6. Step 6: Final answer
    x = 1,156.58

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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.