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Finding the Fourth Proportional to 700.47, 1,050.68 and 213.56

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Solution

The fourth proportional to 700.47, 1,050.68 and 213.56 is: 320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.47 : 1,050.68 = 213.56 : x
  2. Step 2: Convert to fraction form
    700.47/1,050.68 = 213.56/x
  3. Step 3: Cross multiply
    700.47x = 1,050.68 × 213.56
  4. Step 4: Simplify right side
    700.47x = 224,376.90
  5. Step 5: Solve for x
    x = 224,376.90/700.47
  6. Step 6: Final answer
    x = 320.32

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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.