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Finding the Fourth Proportional to 771.96, 1,159.14 and 590.04

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Solution

The fourth proportional to 771.96, 1,159.14 and 590.04 is: 885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.96 : 1,159.14 = 590.04 : x
  2. Step 2: Convert to fraction form
    771.96/1,159.14 = 590.04/x
  3. Step 3: Cross multiply
    771.96x = 1,159.14 × 590.04
  4. Step 4: Simplify right side
    771.96x = 683,938.97
  5. Step 5: Solve for x
    x = 683,938.97/771.96
  6. Step 6: Final answer
    x = 885.98

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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.