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Finding the Fourth Proportional to 1,230.24, 1,842.96 and 580.08

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Solution

The fourth proportional to 1,230.24, 1,842.96 and 580.08 is: 868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.24 : 1,842.96 = 580.08 : x
  2. Step 2: Convert to fraction form
    1,230.24/1,842.96 = 580.08/x
  3. Step 3: Cross multiply
    1,230.24x = 1,842.96 × 580.08
  4. Step 4: Simplify right side
    1,230.24x = 1,069,064.24
  5. Step 5: Solve for x
    x = 1,069,064.24/1,230.24
  6. Step 6: Final answer
    x = 868.99

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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.