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Finding the Fourth Proportional to 1,253.08, 1,879.88 and 375.65

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Solution

The fourth proportional to 1,253.08, 1,879.88 and 375.65 is: 563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.08 : 1,879.88 = 375.65 : x
  2. Step 2: Convert to fraction form
    1,253.08/1,879.88 = 375.65/x
  3. Step 3: Cross multiply
    1,253.08x = 1,879.88 × 375.65
  4. Step 4: Simplify right side
    1,253.08x = 706,168.46
  5. Step 5: Solve for x
    x = 706,168.46/1,253.08
  6. Step 6: Final answer
    x = 563.55

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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.