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Finding the Fourth Proportional to 1,188.84, 1,641.78 and 1,013.16

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Solution

The fourth proportional to 1,188.84, 1,641.78 and 1,013.16 is: 1,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.84 : 1,641.78 = 1,013.16 : x
  2. Step 2: Convert to fraction form
    1,188.84/1,641.78 = 1,013.16/x
  3. Step 3: Cross multiply
    1,188.84x = 1,641.78 × 1,013.16
  4. Step 4: Simplify right side
    1,188.84x = 1,663,385.82
  5. Step 5: Solve for x
    x = 1,663,385.82/1,188.84
  6. Step 6: Final answer
    x = 1,399.17

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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.