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Finding the Fourth Proportional to 1,119.95, 1,679.14 and 426.66

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Solution

The fourth proportional to 1,119.95, 1,679.14 and 426.66 is: 639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.95 : 1,679.14 = 426.66 : x
  2. Step 2: Convert to fraction form
    1,119.95/1,679.14 = 426.66/x
  3. Step 3: Cross multiply
    1,119.95x = 1,679.14 × 426.66
  4. Step 4: Simplify right side
    1,119.95x = 716,421.87
  5. Step 5: Solve for x
    x = 716,421.87/1,119.95
  6. Step 6: Final answer
    x = 639.69

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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.