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Finding the Fourth Proportional to 1,083.95, 1,624.30 and 1,002.95

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Solution

The fourth proportional to 1,083.95, 1,624.30 and 1,002.95 is: 1,502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.95 : 1,624.30 = 1,002.95 : x
  2. Step 2: Convert to fraction form
    1,083.95/1,624.30 = 1,002.95/x
  3. Step 3: Cross multiply
    1,083.95x = 1,624.30 × 1,002.95
  4. Step 4: Simplify right side
    1,083.95x = 1,629,081.06
  5. Step 5: Solve for x
    x = 1,629,081.06/1,083.95
  6. Step 6: Final answer
    x = 1,502.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.