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Finding the Fourth Proportional to 956.74, 1,432.83 and 590.42

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Solution

The fourth proportional to 956.74, 1,432.83 and 590.42 is: 884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.74 : 1,432.83 = 590.42 : x
  2. Step 2: Convert to fraction form
    956.74/1,432.83 = 590.42/x
  3. Step 3: Cross multiply
    956.74x = 1,432.83 × 590.42
  4. Step 4: Simplify right side
    956.74x = 845,964.32
  5. Step 5: Solve for x
    x = 845,964.32/956.74
  6. Step 6: Final answer
    x = 884.22

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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.