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Finding the Fourth Proportional to 733.11, 1,011.23 and 508.69

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Solution

The fourth proportional to 733.11, 1,011.23 and 508.69 is: 701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.11 : 1,011.23 = 508.69 : x
  2. Step 2: Convert to fraction form
    733.11/1,011.23 = 508.69/x
  3. Step 3: Cross multiply
    733.11x = 1,011.23 × 508.69
  4. Step 4: Simplify right side
    733.11x = 514,404.29
  5. Step 5: Solve for x
    x = 514,404.29/733.11
  6. Step 6: Final answer
    x = 701.67

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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.