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Finding the Fourth Proportional to 839.72, 1,259.64 and 291.75

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Solution

The fourth proportional to 839.72, 1,259.64 and 291.75 is: 437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.72 : 1,259.64 = 291.75 : x
  2. Step 2: Convert to fraction form
    839.72/1,259.64 = 291.75/x
  3. Step 3: Cross multiply
    839.72x = 1,259.64 × 291.75
  4. Step 4: Simplify right side
    839.72x = 367,499.97
  5. Step 5: Solve for x
    x = 367,499.97/839.72
  6. Step 6: Final answer
    x = 437.65

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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.