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Finding the Fourth Proportional to 883.51, 1,323.92 and 472.71

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Solution

The fourth proportional to 883.51, 1,323.92 and 472.71 is: 708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.51 : 1,323.92 = 472.71 : x
  2. Step 2: Convert to fraction form
    883.51/1,323.92 = 472.71/x
  3. Step 3: Cross multiply
    883.51x = 1,323.92 × 472.71
  4. Step 4: Simplify right side
    883.51x = 625,821.24
  5. Step 5: Solve for x
    x = 625,821.24/883.51
  6. Step 6: Final answer
    x = 708.34

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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.