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Finding the Fourth Proportional to 1,230.16, 1,843.68 and 580

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Solution

The fourth proportional to 1,230.16, 1,843.68 and 580 is: 869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.16 : 1,843.68 = 580 : x
  2. Step 2: Convert to fraction form
    1,230.16/1,843.68 = 580/x
  3. Step 3: Cross multiply
    1,230.16x = 1,843.68 × 580
  4. Step 4: Simplify right side
    1,230.16x = 1,069,334.40
  5. Step 5: Solve for x
    x = 1,069,334.40/1,230.16
  6. Step 6: Final answer
    x = 869.26

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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.