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Finding the Fourth Proportional to 749.07, 1,033.65 and 438.57

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Solution

The fourth proportional to 749.07, 1,033.65 and 438.57 is: 605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.07 : 1,033.65 = 438.57 : x
  2. Step 2: Convert to fraction form
    749.07/1,033.65 = 438.57/x
  3. Step 3: Cross multiply
    749.07x = 1,033.65 × 438.57
  4. Step 4: Simplify right side
    749.07x = 453,327.88
  5. Step 5: Solve for x
    x = 453,327.88/749.07
  6. Step 6: Final answer
    x = 605.19

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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.