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Finding the Fourth Proportional to 1,559.26, 2,338.82 and 585.28

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Solution

The fourth proportional to 1,559.26, 2,338.82 and 585.28 is: 877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.26 : 2,338.82 = 585.28 : x
  2. Step 2: Convert to fraction form
    1,559.26/2,338.82 = 585.28/x
  3. Step 3: Cross multiply
    1,559.26x = 2,338.82 × 585.28
  4. Step 4: Simplify right side
    1,559.26x = 1,368,864.57
  5. Step 5: Solve for x
    x = 1,368,864.57/1,559.26
  6. Step 6: Final answer
    x = 877.89

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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.