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Finding the Fourth Proportional to 863.96, 1,192.28 and 471

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Solution

The fourth proportional to 863.96, 1,192.28 and 471 is: 649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.96 : 1,192.28 = 471 : x
  2. Step 2: Convert to fraction form
    863.96/1,192.28 = 471/x
  3. Step 3: Cross multiply
    863.96x = 1,192.28 × 471
  4. Step 4: Simplify right side
    863.96x = 561,561.53
  5. Step 5: Solve for x
    x = 561,561.53/863.96
  6. Step 6: Final answer
    x = 649.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.