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Finding the Fourth Proportional to 1,172.96, 1,758.24 and 678.74

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Solution

The fourth proportional to 1,172.96, 1,758.24 and 678.74 is: 1,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.96 : 1,758.24 = 678.74 : x
  2. Step 2: Convert to fraction form
    1,172.96/1,758.24 = 678.74/x
  3. Step 3: Cross multiply
    1,172.96x = 1,758.24 × 678.74
  4. Step 4: Simplify right side
    1,172.96x = 1,193,387.82
  5. Step 5: Solve for x
    x = 1,193,387.82/1,172.96
  6. Step 6: Final answer
    x = 1,017.42

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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.