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Finding the Fourth Proportional to 1,296.04, 1,790.40 and 904.20

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Solution

The fourth proportional to 1,296.04, 1,790.40 and 904.20 is: 1,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.04 : 1,790.40 = 904.20 : x
  2. Step 2: Convert to fraction form
    1,296.04/1,790.40 = 904.20/x
  3. Step 3: Cross multiply
    1,296.04x = 1,790.40 × 904.20
  4. Step 4: Simplify right side
    1,296.04x = 1,618,879.68
  5. Step 5: Solve for x
    x = 1,618,879.68/1,296.04
  6. Step 6: Final answer
    x = 1,249.10

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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.