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Finding the Fourth Proportional to 917.93, 1,265.14 and 816.14

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Solution

The fourth proportional to 917.93, 1,265.14 and 816.14 is: 1,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.93 : 1,265.14 = 816.14 : x
  2. Step 2: Convert to fraction form
    917.93/1,265.14 = 816.14/x
  3. Step 3: Cross multiply
    917.93x = 1,265.14 × 816.14
  4. Step 4: Simplify right side
    917.93x = 1,032,531.36
  5. Step 5: Solve for x
    x = 1,032,531.36/917.93
  6. Step 6: Final answer
    x = 1,124.85

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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.