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Finding the Fourth Proportional to 1,062.25, 1,585.91 and 908.23

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Solution

The fourth proportional to 1,062.25, 1,585.91 and 908.23 is: 1,355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.25 : 1,585.91 = 908.23 : x
  2. Step 2: Convert to fraction form
    1,062.25/1,585.91 = 908.23/x
  3. Step 3: Cross multiply
    1,062.25x = 1,585.91 × 908.23
  4. Step 4: Simplify right side
    1,062.25x = 1,440,366.50
  5. Step 5: Solve for x
    x = 1,440,366.50/1,062.25
  6. Step 6: Final answer
    x = 1,355.96

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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.