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Finding the Fourth Proportional to 747.80, 1,032 and 433.05

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Solution

The fourth proportional to 747.80, 1,032 and 433.05 is: 597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.80 : 1,032 = 433.05 : x
  2. Step 2: Convert to fraction form
    747.80/1,032 = 433.05/x
  3. Step 3: Cross multiply
    747.80x = 1,032 × 433.05
  4. Step 4: Simplify right side
    747.80x = 446,907.60
  5. Step 5: Solve for x
    x = 446,907.60/747.80
  6. Step 6: Final answer
    x = 597.63

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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.