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Finding the Fourth Proportional to 906.22, 1,248.25 and 709.38

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Solution

The fourth proportional to 906.22, 1,248.25 and 709.38 is: 977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.22 : 1,248.25 = 709.38 : x
  2. Step 2: Convert to fraction form
    906.22/1,248.25 = 709.38/x
  3. Step 3: Cross multiply
    906.22x = 1,248.25 × 709.38
  4. Step 4: Simplify right side
    906.22x = 885,483.59
  5. Step 5: Solve for x
    x = 885,483.59/906.22
  6. Step 6: Final answer
    x = 977.12

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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.