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Finding the Fourth Proportional to 1,084.83, 1,496.58 and 642.48

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Solution

The fourth proportional to 1,084.83, 1,496.58 and 642.48 is: 886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.83 : 1,496.58 = 642.48 : x
  2. Step 2: Convert to fraction form
    1,084.83/1,496.58 = 642.48/x
  3. Step 3: Cross multiply
    1,084.83x = 1,496.58 × 642.48
  4. Step 4: Simplify right side
    1,084.83x = 961,522.72
  5. Step 5: Solve for x
    x = 961,522.72/1,084.83
  6. Step 6: Final answer
    x = 886.33

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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.