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Finding the Fourth Proportional to 700.92, 1,051.52 and 213.93

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Solution

The fourth proportional to 700.92, 1,051.52 and 213.93 is: 320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.92 : 1,051.52 = 213.93 : x
  2. Step 2: Convert to fraction form
    700.92/1,051.52 = 213.93/x
  3. Step 3: Cross multiply
    700.92x = 1,051.52 × 213.93
  4. Step 4: Simplify right side
    700.92x = 224,951.67
  5. Step 5: Solve for x
    x = 224,951.67/700.92
  6. Step 6: Final answer
    x = 320.94

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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.