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Finding the Fourth Proportional to 1,140.06, 1,705.92 and 678.06

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Solution

The fourth proportional to 1,140.06, 1,705.92 and 678.06 is: 1,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.06 : 1,705.92 = 678.06 : x
  2. Step 2: Convert to fraction form
    1,140.06/1,705.92 = 678.06/x
  3. Step 3: Cross multiply
    1,140.06x = 1,705.92 × 678.06
  4. Step 4: Simplify right side
    1,140.06x = 1,156,716.12
  5. Step 5: Solve for x
    x = 1,156,716.12/1,140.06
  6. Step 6: Final answer
    x = 1,014.61

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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.