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Finding the Fourth Proportional to 1,077.62, 1,487.06 and 678.82

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Solution

The fourth proportional to 1,077.62, 1,487.06 and 678.82 is: 936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.62 : 1,487.06 = 678.82 : x
  2. Step 2: Convert to fraction form
    1,077.62/1,487.06 = 678.82/x
  3. Step 3: Cross multiply
    1,077.62x = 1,487.06 × 678.82
  4. Step 4: Simplify right side
    1,077.62x = 1,009,446.07
  5. Step 5: Solve for x
    x = 1,009,446.07/1,077.62
  6. Step 6: Final answer
    x = 936.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.