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Finding the Fourth Proportional to 1,477.58, 2,217.09 and 697.55

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Solution

The fourth proportional to 1,477.58, 2,217.09 and 697.55 is: 1,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.58 : 2,217.09 = 697.55 : x
  2. Step 2: Convert to fraction form
    1,477.58/2,217.09 = 697.55/x
  3. Step 3: Cross multiply
    1,477.58x = 2,217.09 × 697.55
  4. Step 4: Simplify right side
    1,477.58x = 1,546,520.04
  5. Step 5: Solve for x
    x = 1,546,520.04/1,477.58
  6. Step 6: Final answer
    x = 1,046.66

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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.