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Finding the Fourth Proportional to 1,580.54, 2,369.95 and 484.61

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Solution

The fourth proportional to 1,580.54, 2,369.95 and 484.61 is: 726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.54 : 2,369.95 = 484.61 : x
  2. Step 2: Convert to fraction form
    1,580.54/2,369.95 = 484.61/x
  3. Step 3: Cross multiply
    1,580.54x = 2,369.95 × 484.61
  4. Step 4: Simplify right side
    1,580.54x = 1,148,488.41
  5. Step 5: Solve for x
    x = 1,148,488.41/1,580.54
  6. Step 6: Final answer
    x = 726.65

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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.