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Finding the Fourth Proportional to 1,083.02, 1,494.50 and 610.77

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Solution

The fourth proportional to 1,083.02, 1,494.50 and 610.77 is: 842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.02 : 1,494.50 = 610.77 : x
  2. Step 2: Convert to fraction form
    1,083.02/1,494.50 = 610.77/x
  3. Step 3: Cross multiply
    1,083.02x = 1,494.50 × 610.77
  4. Step 4: Simplify right side
    1,083.02x = 912,792.71
  5. Step 5: Solve for x
    x = 912,792.71/1,083.02
  6. Step 6: Final answer
    x = 842.82

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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.