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Finding the Fourth Proportional to 733.24, 1,097.70 and 527.80

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Solution

The fourth proportional to 733.24, 1,097.70 and 527.80 is: 790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.24 : 1,097.70 = 527.80 : x
  2. Step 2: Convert to fraction form
    733.24/1,097.70 = 527.80/x
  3. Step 3: Cross multiply
    733.24x = 1,097.70 × 527.80
  4. Step 4: Simplify right side
    733.24x = 579,366.06
  5. Step 5: Solve for x
    x = 579,366.06/733.24
  6. Step 6: Final answer
    x = 790.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.