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Finding the Fourth Proportional to 1,296.59, 1,788.89 and 737.01

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Solution

The fourth proportional to 1,296.59, 1,788.89 and 737.01 is: 1,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.59 : 1,788.89 = 737.01 : x
  2. Step 2: Convert to fraction form
    1,296.59/1,788.89 = 737.01/x
  3. Step 3: Cross multiply
    1,296.59x = 1,788.89 × 737.01
  4. Step 4: Simplify right side
    1,296.59x = 1,318,426.13
  5. Step 5: Solve for x
    x = 1,318,426.13/1,296.59
  6. Step 6: Final answer
    x = 1,016.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.