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Finding the Fourth Proportional to 1,154.26, 1,728.99 and 782.90

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Solution

The fourth proportional to 1,154.26, 1,728.99 and 782.90 is: 1,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.26 : 1,728.99 = 782.90 : x
  2. Step 2: Convert to fraction form
    1,154.26/1,728.99 = 782.90/x
  3. Step 3: Cross multiply
    1,154.26x = 1,728.99 × 782.90
  4. Step 4: Simplify right side
    1,154.26x = 1,353,626.27
  5. Step 5: Solve for x
    x = 1,353,626.27/1,154.26
  6. Step 6: Final answer
    x = 1,172.72

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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.