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Finding the Fourth Proportional to 1,084.14, 1,496.07 and 642.03

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Solution

The fourth proportional to 1,084.14, 1,496.07 and 642.03 is: 885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.14 : 1,496.07 = 642.03 : x
  2. Step 2: Convert to fraction form
    1,084.14/1,496.07 = 642.03/x
  3. Step 3: Cross multiply
    1,084.14x = 1,496.07 × 642.03
  4. Step 4: Simplify right side
    1,084.14x = 960,521.82
  5. Step 5: Solve for x
    x = 960,521.82/1,084.14
  6. Step 6: Final answer
    x = 885.98

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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.