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Finding the Fourth Proportional to 733.71, 1,013.03 and 594.46

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Solution

The fourth proportional to 733.71, 1,013.03 and 594.46 is: 820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.71 : 1,013.03 = 594.46 : x
  2. Step 2: Convert to fraction form
    733.71/1,013.03 = 594.46/x
  3. Step 3: Cross multiply
    733.71x = 1,013.03 × 594.46
  4. Step 4: Simplify right side
    733.71x = 602,205.81
  5. Step 5: Solve for x
    x = 602,205.81/733.71
  6. Step 6: Final answer
    x = 820.77

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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.