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Finding the Fourth Proportional to 1,167.59, 1,752.39 and 612.69

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Solution

The fourth proportional to 1,167.59, 1,752.39 and 612.69 is: 919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.59 : 1,752.39 = 612.69 : x
  2. Step 2: Convert to fraction form
    1,167.59/1,752.39 = 612.69/x
  3. Step 3: Cross multiply
    1,167.59x = 1,752.39 × 612.69
  4. Step 4: Simplify right side
    1,167.59x = 1,073,667.56
  5. Step 5: Solve for x
    x = 1,073,667.56/1,167.59
  6. Step 6: Final answer
    x = 919.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.