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Finding the Fourth Proportional to 1,124.52, 1,678.73 and 1,116.76

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Solution

The fourth proportional to 1,124.52, 1,678.73 and 1,116.76 is: 1,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.52 : 1,678.73 = 1,116.76 : x
  2. Step 2: Convert to fraction form
    1,124.52/1,678.73 = 1,116.76/x
  3. Step 3: Cross multiply
    1,124.52x = 1,678.73 × 1,116.76
  4. Step 4: Simplify right side
    1,124.52x = 1,874,738.51
  5. Step 5: Solve for x
    x = 1,874,738.51/1,124.52
  6. Step 6: Final answer
    x = 1,667.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.