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Finding the Fourth Proportional to 955.92, 1,433.87 and 590.83

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Solution

The fourth proportional to 955.92, 1,433.87 and 590.83 is: 886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.92 : 1,433.87 = 590.83 : x
  2. Step 2: Convert to fraction form
    955.92/1,433.87 = 590.83/x
  3. Step 3: Cross multiply
    955.92x = 1,433.87 × 590.83
  4. Step 4: Simplify right side
    955.92x = 847,173.41
  5. Step 5: Solve for x
    x = 847,173.41/955.92
  6. Step 6: Final answer
    x = 886.24

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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.