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Finding the Fourth Proportional to 916.86, 1,374.97 and 569.66

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Solution

The fourth proportional to 916.86, 1,374.97 and 569.66 is: 854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.86 : 1,374.97 = 569.66 : x
  2. Step 2: Convert to fraction form
    916.86/1,374.97 = 569.66/x
  3. Step 3: Cross multiply
    916.86x = 1,374.97 × 569.66
  4. Step 4: Simplify right side
    916.86x = 783,265.41
  5. Step 5: Solve for x
    x = 783,265.41/916.86
  6. Step 6: Final answer
    x = 854.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.