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Finding the Fourth Proportional to 1,153.90, 1,728.63 and 713.87

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Solution

The fourth proportional to 1,153.90, 1,728.63 and 713.87 is: 1,069.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.90 : 1,728.63 = 713.87 : x
  2. Step 2: Convert to fraction form
    1,153.90/1,728.63 = 713.87/x
  3. Step 3: Cross multiply
    1,153.90x = 1,728.63 × 713.87
  4. Step 4: Simplify right side
    1,153.90x = 1,234,017.10
  5. Step 5: Solve for x
    x = 1,234,017.10/1,153.90
  6. Step 6: Final answer
    x = 1,069.43

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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.