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Finding the Fourth Proportional to 1,310.93, 1,967.07 and 581.02

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Solution

The fourth proportional to 1,310.93, 1,967.07 and 581.02 is: 871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.93 : 1,967.07 = 581.02 : x
  2. Step 2: Convert to fraction form
    1,310.93/1,967.07 = 581.02/x
  3. Step 3: Cross multiply
    1,310.93x = 1,967.07 × 581.02
  4. Step 4: Simplify right side
    1,310.93x = 1,142,907.01
  5. Step 5: Solve for x
    x = 1,142,907.01/1,310.93
  6. Step 6: Final answer
    x = 871.83

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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.