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Finding the Fourth Proportional to 1,560.50, 2,340.75 and 585.92

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Solution

The fourth proportional to 1,560.50, 2,340.75 and 585.92 is: 878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.50 : 2,340.75 = 585.92 : x
  2. Step 2: Convert to fraction form
    1,560.50/2,340.75 = 585.92/x
  3. Step 3: Cross multiply
    1,560.50x = 2,340.75 × 585.92
  4. Step 4: Simplify right side
    1,560.50x = 1,371,492.24
  5. Step 5: Solve for x
    x = 1,371,492.24/1,560.50
  6. Step 6: Final answer
    x = 878.88

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.