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Finding the Fourth Proportional to 733.22, 1,011.42 and 509.06

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Solution

The fourth proportional to 733.22, 1,011.42 and 509.06 is: 702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.22 : 1,011.42 = 509.06 : x
  2. Step 2: Convert to fraction form
    733.22/1,011.42 = 509.06/x
  3. Step 3: Cross multiply
    733.22x = 1,011.42 × 509.06
  4. Step 4: Simplify right side
    733.22x = 514,873.47
  5. Step 5: Solve for x
    x = 514,873.47/733.22
  6. Step 6: Final answer
    x = 702.21

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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.