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Finding the Fourth Proportional to 1,296.83, 1,944.07 and 474.52

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Solution

The fourth proportional to 1,296.83, 1,944.07 and 474.52 is: 711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.83 : 1,944.07 = 474.52 : x
  2. Step 2: Convert to fraction form
    1,296.83/1,944.07 = 474.52/x
  3. Step 3: Cross multiply
    1,296.83x = 1,944.07 × 474.52
  4. Step 4: Simplify right side
    1,296.83x = 922,500.10
  5. Step 5: Solve for x
    x = 922,500.10/1,296.83
  6. Step 6: Final answer
    x = 711.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.