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Finding the Fourth Proportional to 1,310.52, 1,807.74 and 1,135.56

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Solution

The fourth proportional to 1,310.52, 1,807.74 and 1,135.56 is: 1,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.52 : 1,807.74 = 1,135.56 : x
  2. Step 2: Convert to fraction form
    1,310.52/1,807.74 = 1,135.56/x
  3. Step 3: Cross multiply
    1,310.52x = 1,807.74 × 1,135.56
  4. Step 4: Simplify right side
    1,310.52x = 2,052,797.23
  5. Step 5: Solve for x
    x = 2,052,797.23/1,310.52
  6. Step 6: Final answer
    x = 1,566.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.