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Finding the Fourth Proportional to 931.91, 1,282.97 and 807.17

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Solution

The fourth proportional to 931.91, 1,282.97 and 807.17 is: 1,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.91 : 1,282.97 = 807.17 : x
  2. Step 2: Convert to fraction form
    931.91/1,282.97 = 807.17/x
  3. Step 3: Cross multiply
    931.91x = 1,282.97 × 807.17
  4. Step 4: Simplify right side
    931.91x = 1,035,570.50
  5. Step 5: Solve for x
    x = 1,035,570.50/931.91
  6. Step 6: Final answer
    x = 1,111.24

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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.