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Finding the Fourth Proportional to 1,295.96, 1,942.96 and 474.08

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Solution

The fourth proportional to 1,295.96, 1,942.96 and 474.08 is: 710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.96 : 1,942.96 = 474.08 : x
  2. Step 2: Convert to fraction form
    1,295.96/1,942.96 = 474.08/x
  3. Step 3: Cross multiply
    1,295.96x = 1,942.96 × 474.08
  4. Step 4: Simplify right side
    1,295.96x = 921,118.48
  5. Step 5: Solve for x
    x = 921,118.48/1,295.96
  6. Step 6: Final answer
    x = 710.76

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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.