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Finding the Fourth Proportional to 749.10, 1,033.47 and 438.42

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Solution

The fourth proportional to 749.10, 1,033.47 and 438.42 is: 604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.10 : 1,033.47 = 438.42 : x
  2. Step 2: Convert to fraction form
    749.10/1,033.47 = 438.42/x
  3. Step 3: Cross multiply
    749.10x = 1,033.47 × 438.42
  4. Step 4: Simplify right side
    749.10x = 453,093.92
  5. Step 5: Solve for x
    x = 453,093.92/749.10
  6. Step 6: Final answer
    x = 604.85

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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.