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Finding the Fourth Proportional to 733.40, 1,013.04 and 594.44

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Solution

The fourth proportional to 733.40, 1,013.04 and 594.44 is: 821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.40 : 1,013.04 = 594.44 : x
  2. Step 2: Convert to fraction form
    733.40/1,013.04 = 594.44/x
  3. Step 3: Cross multiply
    733.40x = 1,013.04 × 594.44
  4. Step 4: Simplify right side
    733.40x = 602,191.50
  5. Step 5: Solve for x
    x = 602,191.50/733.40
  6. Step 6: Final answer
    x = 821.10

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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.