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Finding the Fourth Proportional to 1,295.51, 1,943.42 and 474.17

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Solution

The fourth proportional to 1,295.51, 1,943.42 and 474.17 is: 711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.51 : 1,943.42 = 474.17 : x
  2. Step 2: Convert to fraction form
    1,295.51/1,943.42 = 474.17/x
  3. Step 3: Cross multiply
    1,295.51x = 1,943.42 × 474.17
  4. Step 4: Simplify right side
    1,295.51x = 921,502.93
  5. Step 5: Solve for x
    x = 921,502.93/1,295.51
  6. Step 6: Final answer
    x = 711.31

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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.