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Finding the Fourth Proportional to 1,332.19, 1,837.96 and 772.48

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Solution

The fourth proportional to 1,332.19, 1,837.96 and 772.48 is: 1,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.19 : 1,837.96 = 772.48 : x
  2. Step 2: Convert to fraction form
    1,332.19/1,837.96 = 772.48/x
  3. Step 3: Cross multiply
    1,332.19x = 1,837.96 × 772.48
  4. Step 4: Simplify right side
    1,332.19x = 1,419,787.34
  5. Step 5: Solve for x
    x = 1,419,787.34/1,332.19
  6. Step 6: Final answer
    x = 1,065.75

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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.