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Finding the Fourth Proportional to 949.15, 1,309.47 and 653.89

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Solution

The fourth proportional to 949.15, 1,309.47 and 653.89 is: 902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.15 : 1,309.47 = 653.89 : x
  2. Step 2: Convert to fraction form
    949.15/1,309.47 = 653.89/x
  3. Step 3: Cross multiply
    949.15x = 1,309.47 × 653.89
  4. Step 4: Simplify right side
    949.15x = 856,249.34
  5. Step 5: Solve for x
    x = 856,249.34/949.15
  6. Step 6: Final answer
    x = 902.12

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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.