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Finding the Fourth Proportional to 733.07, 1,011.66 and 401.48

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Solution

The fourth proportional to 733.07, 1,011.66 and 401.48 is: 554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.07 : 1,011.66 = 401.48 : x
  2. Step 2: Convert to fraction form
    733.07/1,011.66 = 401.48/x
  3. Step 3: Cross multiply
    733.07x = 1,011.66 × 401.48
  4. Step 4: Simplify right side
    733.07x = 406,158.83
  5. Step 5: Solve for x
    x = 406,158.83/733.07
  6. Step 6: Final answer
    x = 554.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.