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Finding the Fourth Proportional to 1,255.53, 1,881.94 and 707.57

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Solution

The fourth proportional to 1,255.53, 1,881.94 and 707.57 is: 1,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.53 : 1,881.94 = 707.57 : x
  2. Step 2: Convert to fraction form
    1,255.53/1,881.94 = 707.57/x
  3. Step 3: Cross multiply
    1,255.53x = 1,881.94 × 707.57
  4. Step 4: Simplify right side
    1,255.53x = 1,331,604.29
  5. Step 5: Solve for x
    x = 1,331,604.29/1,255.53
  6. Step 6: Final answer
    x = 1,060.59

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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.