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Finding the Fourth Proportional to 1,320.95, 1,822.96 and 731.48

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Solution

The fourth proportional to 1,320.95, 1,822.96 and 731.48 is: 1,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.95 : 1,822.96 = 731.48 : x
  2. Step 2: Convert to fraction form
    1,320.95/1,822.96 = 731.48/x
  3. Step 3: Cross multiply
    1,320.95x = 1,822.96 × 731.48
  4. Step 4: Simplify right side
    1,320.95x = 1,333,458.78
  5. Step 5: Solve for x
    x = 1,333,458.78/1,320.95
  6. Step 6: Final answer
    x = 1,009.47

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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.