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Finding the Fourth Proportional to 1,359.25, 1,877.39 and 916.39

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Solution

The fourth proportional to 1,359.25, 1,877.39 and 916.39 is: 1,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.25 : 1,877.39 = 916.39 : x
  2. Step 2: Convert to fraction form
    1,359.25/1,877.39 = 916.39/x
  3. Step 3: Cross multiply
    1,359.25x = 1,877.39 × 916.39
  4. Step 4: Simplify right side
    1,359.25x = 1,720,421.42
  5. Step 5: Solve for x
    x = 1,720,421.42/1,359.25
  6. Step 6: Final answer
    x = 1,265.71

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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.