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Finding the Fourth Proportional to 934.28, 1,288.82 and 585.16

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Solution

The fourth proportional to 934.28, 1,288.82 and 585.16 is: 807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.28 : 1,288.82 = 585.16 : x
  2. Step 2: Convert to fraction form
    934.28/1,288.82 = 585.16/x
  3. Step 3: Cross multiply
    934.28x = 1,288.82 × 585.16
  4. Step 4: Simplify right side
    934.28x = 754,165.91
  5. Step 5: Solve for x
    x = 754,165.91/934.28
  6. Step 6: Final answer
    x = 807.22

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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.