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Finding the Fourth Proportional to 1,259.20, 1,888.80 and 565.78

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Solution

The fourth proportional to 1,259.20, 1,888.80 and 565.78 is: 848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.20 : 1,888.80 = 565.78 : x
  2. Step 2: Convert to fraction form
    1,259.20/1,888.80 = 565.78/x
  3. Step 3: Cross multiply
    1,259.20x = 1,888.80 × 565.78
  4. Step 4: Simplify right side
    1,259.20x = 1,068,645.26
  5. Step 5: Solve for x
    x = 1,068,645.26/1,259.20
  6. Step 6: Final answer
    x = 848.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.