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Finding the Fourth Proportional to 949.07, 1,308.07 and 653.96

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Solution

The fourth proportional to 949.07, 1,308.07 and 653.96 is: 901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.07 : 1,308.07 = 653.96 : x
  2. Step 2: Convert to fraction form
    949.07/1,308.07 = 653.96/x
  3. Step 3: Cross multiply
    949.07x = 1,308.07 × 653.96
  4. Step 4: Simplify right side
    949.07x = 855,425.46
  5. Step 5: Solve for x
    x = 855,425.46/949.07
  6. Step 6: Final answer
    x = 901.33

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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.