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Finding the Fourth Proportional to 1,363.47, 1,881.57 and 773.97

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Solution

The fourth proportional to 1,363.47, 1,881.57 and 773.97 is: 1,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.47 : 1,881.57 = 773.97 : x
  2. Step 2: Convert to fraction form
    1,363.47/1,881.57 = 773.97/x
  3. Step 3: Cross multiply
    1,363.47x = 1,881.57 × 773.97
  4. Step 4: Simplify right side
    1,363.47x = 1,456,281.64
  5. Step 5: Solve for x
    x = 1,456,281.64/1,363.47
  6. Step 6: Final answer
    x = 1,068.07

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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.