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Finding the Fourth Proportional to 1,231.16, 1,697.86 and 917.19

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Solution

The fourth proportional to 1,231.16, 1,697.86 and 917.19 is: 1,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.16 : 1,697.86 = 917.19 : x
  2. Step 2: Convert to fraction form
    1,231.16/1,697.86 = 917.19/x
  3. Step 3: Cross multiply
    1,231.16x = 1,697.86 × 917.19
  4. Step 4: Simplify right side
    1,231.16x = 1,557,260.21
  5. Step 5: Solve for x
    x = 1,557,260.21/1,231.16
  6. Step 6: Final answer
    x = 1,264.87

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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.