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Finding the Fourth Proportional to 1,560.30, 2,339.82 and 585.87

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Solution

The fourth proportional to 1,560.30, 2,339.82 and 585.87 is: 878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.30 : 2,339.82 = 585.87 : x
  2. Step 2: Convert to fraction form
    1,560.30/2,339.82 = 585.87/x
  3. Step 3: Cross multiply
    1,560.30x = 2,339.82 × 585.87
  4. Step 4: Simplify right side
    1,560.30x = 1,370,830.34
  5. Step 5: Solve for x
    x = 1,370,830.34/1,560.30
  6. Step 6: Final answer
    x = 878.57

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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.