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Finding the Fourth Proportional to 1,254.76, 1,882.81 and 706.98

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Solution

The fourth proportional to 1,254.76, 1,882.81 and 706.98 is: 1,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.76 : 1,882.81 = 706.98 : x
  2. Step 2: Convert to fraction form
    1,254.76/1,882.81 = 706.98/x
  3. Step 3: Cross multiply
    1,254.76x = 1,882.81 × 706.98
  4. Step 4: Simplify right side
    1,254.76x = 1,331,109.01
  5. Step 5: Solve for x
    x = 1,331,109.01/1,254.76
  6. Step 6: Final answer
    x = 1,060.85

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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.