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Finding the Fourth Proportional to 733.75, 1,099.59 and 527.35

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Solution

The fourth proportional to 733.75, 1,099.59 and 527.35 is: 790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.75 : 1,099.59 = 527.35 : x
  2. Step 2: Convert to fraction form
    733.75/1,099.59 = 527.35/x
  3. Step 3: Cross multiply
    733.75x = 1,099.59 × 527.35
  4. Step 4: Simplify right side
    733.75x = 579,868.02
  5. Step 5: Solve for x
    x = 579,868.02/733.75
  6. Step 6: Final answer
    x = 790.28

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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.