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Finding the Fourth Proportional to 700.22, 1,048.96 and 537.11

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Solution

The fourth proportional to 700.22, 1,048.96 and 537.11 is: 804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.22 : 1,048.96 = 537.11 : x
  2. Step 2: Convert to fraction form
    700.22/1,048.96 = 537.11/x
  3. Step 3: Cross multiply
    700.22x = 1,048.96 × 537.11
  4. Step 4: Simplify right side
    700.22x = 563,406.27
  5. Step 5: Solve for x
    x = 563,406.27/700.22
  6. Step 6: Final answer
    x = 804.61

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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.