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Finding the Fourth Proportional to 1,230.57, 1,843.70 and 652.77

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Solution

The fourth proportional to 1,230.57, 1,843.70 and 652.77 is: 978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.57 : 1,843.70 = 652.77 : x
  2. Step 2: Convert to fraction form
    1,230.57/1,843.70 = 652.77/x
  3. Step 3: Cross multiply
    1,230.57x = 1,843.70 × 652.77
  4. Step 4: Simplify right side
    1,230.57x = 1,203,508.79
  5. Step 5: Solve for x
    x = 1,203,508.79/1,230.57
  6. Step 6: Final answer
    x = 978.01

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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.