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Finding the Fourth Proportional to 1,310.33, 1,965.69 and 580.11

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Solution

The fourth proportional to 1,310.33, 1,965.69 and 580.11 is: 870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.33 : 1,965.69 = 580.11 : x
  2. Step 2: Convert to fraction form
    1,310.33/1,965.69 = 580.11/x
  3. Step 3: Cross multiply
    1,310.33x = 1,965.69 × 580.11
  4. Step 4: Simplify right side
    1,310.33x = 1,140,316.43
  5. Step 5: Solve for x
    x = 1,140,316.43/1,310.33
  6. Step 6: Final answer
    x = 870.25

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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.