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Finding the Fourth Proportional to 749.03, 1,033.66 and 434.30

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Solution

The fourth proportional to 749.03, 1,033.66 and 434.30 is: 599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.03 : 1,033.66 = 434.30 : x
  2. Step 2: Convert to fraction form
    749.03/1,033.66 = 434.30/x
  3. Step 3: Cross multiply
    749.03x = 1,033.66 × 434.30
  4. Step 4: Simplify right side
    749.03x = 448,918.54
  5. Step 5: Solve for x
    x = 448,918.54/749.03
  6. Step 6: Final answer
    x = 599.33

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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.