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Finding the Fourth Proportional to 1,140.89, 1,711.80 and 679.59

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Solution

The fourth proportional to 1,140.89, 1,711.80 and 679.59 is: 1,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.89 : 1,711.80 = 679.59 : x
  2. Step 2: Convert to fraction form
    1,140.89/1,711.80 = 679.59/x
  3. Step 3: Cross multiply
    1,140.89x = 1,711.80 × 679.59
  4. Step 4: Simplify right side
    1,140.89x = 1,163,322.16
  5. Step 5: Solve for x
    x = 1,163,322.16/1,140.89
  6. Step 6: Final answer
    x = 1,019.67

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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.