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Finding the Fourth Proportional to 1,719.50, 2,579.70 and 565.25

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Solution

The fourth proportional to 1,719.50, 2,579.70 and 565.25 is: 848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.50 : 2,579.70 = 565.25 : x
  2. Step 2: Convert to fraction form
    1,719.50/2,579.70 = 565.25/x
  3. Step 3: Cross multiply
    1,719.50x = 2,579.70 × 565.25
  4. Step 4: Simplify right side
    1,719.50x = 1,458,175.43
  5. Step 5: Solve for x
    x = 1,458,175.43/1,719.50
  6. Step 6: Final answer
    x = 848.02

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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.