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Finding the Fourth Proportional to 1,559.75, 2,338.65 and 584.69

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Solution

The fourth proportional to 1,559.75, 2,338.65 and 584.69 is: 876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.75 : 2,338.65 = 584.69 : x
  2. Step 2: Convert to fraction form
    1,559.75/2,338.65 = 584.69/x
  3. Step 3: Cross multiply
    1,559.75x = 2,338.65 × 584.69
  4. Step 4: Simplify right side
    1,559.75x = 1,367,373.58
  5. Step 5: Solve for x
    x = 1,367,373.58/1,559.75
  6. Step 6: Final answer
    x = 876.66

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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.