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Finding the Fourth Proportional to 748.60, 1,033.15 and 433.86

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Solution

The fourth proportional to 748.60, 1,033.15 and 433.86 is: 598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.60 : 1,033.15 = 433.86 : x
  2. Step 2: Convert to fraction form
    748.60/1,033.15 = 433.86/x
  3. Step 3: Cross multiply
    748.60x = 1,033.15 × 433.86
  4. Step 4: Simplify right side
    748.60x = 448,242.46
  5. Step 5: Solve for x
    x = 448,242.46/748.60
  6. Step 6: Final answer
    x = 598.77

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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.