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Finding the Fourth Proportional to 883.24, 1,324.08 and 472

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Solution

The fourth proportional to 883.24, 1,324.08 and 472 is: 707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.24 : 1,324.08 = 472 : x
  2. Step 2: Convert to fraction form
    883.24/1,324.08 = 472/x
  3. Step 3: Cross multiply
    883.24x = 1,324.08 × 472
  4. Step 4: Simplify right side
    883.24x = 624,965.76
  5. Step 5: Solve for x
    x = 624,965.76/883.24
  6. Step 6: Final answer
    x = 707.58

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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.