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Finding the Fourth Proportional to 1,475.42, 2,212.43 and 694.77

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Solution

The fourth proportional to 1,475.42, 2,212.43 and 694.77 is: 1,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.42 : 2,212.43 = 694.77 : x
  2. Step 2: Convert to fraction form
    1,475.42/2,212.43 = 694.77/x
  3. Step 3: Cross multiply
    1,475.42x = 2,212.43 × 694.77
  4. Step 4: Simplify right side
    1,475.42x = 1,537,126.52
  5. Step 5: Solve for x
    x = 1,537,126.52/1,475.42
  6. Step 6: Final answer
    x = 1,041.83

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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.