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Finding the Fourth Proportional to 1,580.33, 2,370.88 and 714.41

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Solution

The fourth proportional to 1,580.33, 2,370.88 and 714.41 is: 1,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.33 : 2,370.88 = 714.41 : x
  2. Step 2: Convert to fraction form
    1,580.33/2,370.88 = 714.41/x
  3. Step 3: Cross multiply
    1,580.33x = 2,370.88 × 714.41
  4. Step 4: Simplify right side
    1,580.33x = 1,693,766.74
  5. Step 5: Solve for x
    x = 1,693,766.74/1,580.33
  6. Step 6: Final answer
    x = 1,071.78

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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.