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Finding the Fourth Proportional to 906.69, 1,250.84 and 592.01

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Solution

The fourth proportional to 906.69, 1,250.84 and 592.01 is: 816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.69 : 1,250.84 = 592.01 : x
  2. Step 2: Convert to fraction form
    906.69/1,250.84 = 592.01/x
  3. Step 3: Cross multiply
    906.69x = 1,250.84 × 592.01
  4. Step 4: Simplify right side
    906.69x = 740,509.70
  5. Step 5: Solve for x
    x = 740,509.70/906.69
  6. Step 6: Final answer
    x = 816.71

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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.