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Finding the Fourth Proportional to 932.51, 1,399.07 and 585.42

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Solution

The fourth proportional to 932.51, 1,399.07 and 585.42 is: 878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.51 : 1,399.07 = 585.42 : x
  2. Step 2: Convert to fraction form
    932.51/1,399.07 = 585.42/x
  3. Step 3: Cross multiply
    932.51x = 1,399.07 × 585.42
  4. Step 4: Simplify right side
    932.51x = 819,043.56
  5. Step 5: Solve for x
    x = 819,043.56/932.51
  6. Step 6: Final answer
    x = 878.32

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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.