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Finding the Fourth Proportional to 1,697.93, 2,546.91 and 527.93

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Solution

The fourth proportional to 1,697.93, 2,546.91 and 527.93 is: 791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.93 : 2,546.91 = 527.93 : x
  2. Step 2: Convert to fraction form
    1,697.93/2,546.91 = 527.93/x
  3. Step 3: Cross multiply
    1,697.93x = 2,546.91 × 527.93
  4. Step 4: Simplify right side
    1,697.93x = 1,344,590.20
  5. Step 5: Solve for x
    x = 1,344,590.20/1,697.93
  6. Step 6: Final answer
    x = 791.90

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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.