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Finding the Fourth Proportional to 741.50, 1,022.32 and 608.24

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Solution

The fourth proportional to 741.50, 1,022.32 and 608.24 is: 838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.50 : 1,022.32 = 608.24 : x
  2. Step 2: Convert to fraction form
    741.50/1,022.32 = 608.24/x
  3. Step 3: Cross multiply
    741.50x = 1,022.32 × 608.24
  4. Step 4: Simplify right side
    741.50x = 621,815.92
  5. Step 5: Solve for x
    x = 621,815.92/741.50
  6. Step 6: Final answer
    x = 838.59

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1.5x scale

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.