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Finding the Fourth Proportional to 1,856.79, 2,785.32 and 559.17

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Solution

The fourth proportional to 1,856.79, 2,785.32 and 559.17 is: 838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.79 : 2,785.32 = 559.17 : x
  2. Step 2: Convert to fraction form
    1,856.79/2,785.32 = 559.17/x
  3. Step 3: Cross multiply
    1,856.79x = 2,785.32 × 559.17
  4. Step 4: Simplify right side
    1,856.79x = 1,557,467.38
  5. Step 5: Solve for x
    x = 1,557,467.38/1,856.79
  6. Step 6: Final answer
    x = 838.80

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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.