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Finding the Fourth Proportional to 1,494.50, 2,062.77 and 904.92

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Solution

The fourth proportional to 1,494.50, 2,062.77 and 904.92 is: 1,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.50 : 2,062.77 = 904.92 : x
  2. Step 2: Convert to fraction form
    1,494.50/2,062.77 = 904.92/x
  3. Step 3: Cross multiply
    1,494.50x = 2,062.77 × 904.92
  4. Step 4: Simplify right side
    1,494.50x = 1,866,642.30
  5. Step 5: Solve for x
    x = 1,866,642.30/1,494.50
  6. Step 6: Final answer
    x = 1,249.01

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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.