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Finding the Fourth Proportional to 1,039.88, 1,559.86 and 346.52

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Solution

The fourth proportional to 1,039.88, 1,559.86 and 346.52 is: 519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.88 : 1,559.86 = 346.52 : x
  2. Step 2: Convert to fraction form
    1,039.88/1,559.86 = 346.52/x
  3. Step 3: Cross multiply
    1,039.88x = 1,559.86 × 346.52
  4. Step 4: Simplify right side
    1,039.88x = 540,522.69
  5. Step 5: Solve for x
    x = 540,522.69/1,039.88
  6. Step 6: Final answer
    x = 519.79

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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.