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Finding the Fourth Proportional to 956.48, 1,424.56 and 906.56

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Solution

The fourth proportional to 956.48, 1,424.56 and 906.56 is: 1,350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.48 : 1,424.56 = 906.56 : x
  2. Step 2: Convert to fraction form
    956.48/1,424.56 = 906.56/x
  3. Step 3: Cross multiply
    956.48x = 1,424.56 × 906.56
  4. Step 4: Simplify right side
    956.48x = 1,291,449.11
  5. Step 5: Solve for x
    x = 1,291,449.11/956.48
  6. Step 6: Final answer
    x = 1,350.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.