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Finding the Fourth Proportional to 1,083.32, 1,625.27 and 498.69

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Solution

The fourth proportional to 1,083.32, 1,625.27 and 498.69 is: 748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.32 : 1,625.27 = 498.69 : x
  2. Step 2: Convert to fraction form
    1,083.32/1,625.27 = 498.69/x
  3. Step 3: Cross multiply
    1,083.32x = 1,625.27 × 498.69
  4. Step 4: Simplify right side
    1,083.32x = 810,503.40
  5. Step 5: Solve for x
    x = 810,503.40/1,083.32
  6. Step 6: Final answer
    x = 748.17

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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.