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Finding the Fourth Proportional to 1,605.92, 2,409.36 and 580

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Solution

The fourth proportional to 1,605.92, 2,409.36 and 580 is: 870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.92 : 2,409.36 = 580 : x
  2. Step 2: Convert to fraction form
    1,605.92/2,409.36 = 580/x
  3. Step 3: Cross multiply
    1,605.92x = 2,409.36 × 580
  4. Step 4: Simplify right side
    1,605.92x = 1,397,428.80
  5. Step 5: Solve for x
    x = 1,397,428.80/1,605.92
  6. Step 6: Final answer
    x = 870.17

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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.