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Finding the Fourth Proportional to 608.92, 912.18 and 537.64

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Solution

The fourth proportional to 608.92, 912.18 and 537.64 is: 805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.92 : 912.18 = 537.64 : x
  2. Step 2: Convert to fraction form
    608.92/912.18 = 537.64/x
  3. Step 3: Cross multiply
    608.92x = 912.18 × 537.64
  4. Step 4: Simplify right side
    608.92x = 490,424.46
  5. Step 5: Solve for x
    x = 490,424.46/608.92
  6. Step 6: Final answer
    x = 805.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.