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Finding the Fourth Proportional to 733, 1,011.54 and 471.02

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Solution

The fourth proportional to 733, 1,011.54 and 471.02 is: 650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    733 : 1,011.54 = 471.02 : x
  2. Step 2: Convert to fraction form
    733/1,011.54 = 471.02/x
  3. Step 3: Cross multiply
    733x = 1,011.54 × 471.02
  4. Step 4: Simplify right side
    733x = 476,455.57
  5. Step 5: Solve for x
    x = 476,455.57/733
  6. Step 6: Final answer
    x = 650.01

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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.