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Finding the Fourth Proportional to 1,296.04, 1,944.26 and 474.12

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Solution

The fourth proportional to 1,296.04, 1,944.26 and 474.12 is: 711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.04 : 1,944.26 = 474.12 : x
  2. Step 2: Convert to fraction form
    1,296.04/1,944.26 = 474.12/x
  3. Step 3: Cross multiply
    1,296.04x = 1,944.26 × 474.12
  4. Step 4: Simplify right side
    1,296.04x = 921,812.55
  5. Step 5: Solve for x
    x = 921,812.55/1,296.04
  6. Step 6: Final answer
    x = 711.25

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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.