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Finding the Fourth Proportional to 1,257.85, 1,886.08 and 565.19

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Solution

The fourth proportional to 1,257.85, 1,886.08 and 565.19 is: 847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.85 : 1,886.08 = 565.19 : x
  2. Step 2: Convert to fraction form
    1,257.85/1,886.08 = 565.19/x
  3. Step 3: Cross multiply
    1,257.85x = 1,886.08 × 565.19
  4. Step 4: Simplify right side
    1,257.85x = 1,065,993.56
  5. Step 5: Solve for x
    x = 1,065,993.56/1,257.85
  6. Step 6: Final answer
    x = 847.47

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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.