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Finding the Fourth Proportional to 1,363.76, 1,883.10 and 916.79

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Solution

The fourth proportional to 1,363.76, 1,883.10 and 916.79 is: 1,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.76 : 1,883.10 = 916.79 : x
  2. Step 2: Convert to fraction form
    1,363.76/1,883.10 = 916.79/x
  3. Step 3: Cross multiply
    1,363.76x = 1,883.10 × 916.79
  4. Step 4: Simplify right side
    1,363.76x = 1,726,412.00
  5. Step 5: Solve for x
    x = 1,726,412.00/1,363.76
  6. Step 6: Final answer
    x = 1,265.92

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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.