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Finding the Fourth Proportional to 700.35, 1,049.15 and 537.24

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Solution

The fourth proportional to 700.35, 1,049.15 and 537.24 is: 804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.35 : 1,049.15 = 537.24 : x
  2. Step 2: Convert to fraction form
    700.35/1,049.15 = 537.24/x
  3. Step 3: Cross multiply
    700.35x = 1,049.15 × 537.24
  4. Step 4: Simplify right side
    700.35x = 563,645.35
  5. Step 5: Solve for x
    x = 563,645.35/700.35
  6. Step 6: Final answer
    x = 804.81

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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.