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Finding the Fourth Proportional to 1,295.91, 1,944.71 and 474.12

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Solution

The fourth proportional to 1,295.91, 1,944.71 and 474.12 is: 711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.91 : 1,944.71 = 474.12 : x
  2. Step 2: Convert to fraction form
    1,295.91/1,944.71 = 474.12/x
  3. Step 3: Cross multiply
    1,295.91x = 1,944.71 × 474.12
  4. Step 4: Simplify right side
    1,295.91x = 922,023.53
  5. Step 5: Solve for x
    x = 922,023.53/1,295.91
  6. Step 6: Final answer
    x = 711.49

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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.