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Finding the Fourth Proportional to 608.83, 912.05 and 505.00

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Solution

The fourth proportional to 608.83, 912.05 and 505.00 is: 756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.83 : 912.05 = 505.00 : x
  2. Step 2: Convert to fraction form
    608.83/912.05 = 505.00/x
  3. Step 3: Cross multiply
    608.83x = 912.05 × 505.00
  4. Step 4: Simplify right side
    608.83x = 460,586.97
  5. Step 5: Solve for x
    x = 460,586.97/608.83
  6. Step 6: Final answer
    x = 756.51

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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.