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Finding the Fourth Proportional to 1,706.78, 2,561.15 and 719.53

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Solution

The fourth proportional to 1,706.78, 2,561.15 and 719.53 is: 1,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.78 : 2,561.15 = 719.53 : x
  2. Step 2: Convert to fraction form
    1,706.78/2,561.15 = 719.53/x
  3. Step 3: Cross multiply
    1,706.78x = 2,561.15 × 719.53
  4. Step 4: Simplify right side
    1,706.78x = 1,842,819.66
  5. Step 5: Solve for x
    x = 1,842,819.66/1,706.78
  6. Step 6: Final answer
    x = 1,079.70

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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.