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Finding the Fourth Proportional to 1,697.61, 2,546.70 and 723.69

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Solution

The fourth proportional to 1,697.61, 2,546.70 and 723.69 is: 1,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.61 : 2,546.70 = 723.69 : x
  2. Step 2: Convert to fraction form
    1,697.61/2,546.70 = 723.69/x
  3. Step 3: Cross multiply
    1,697.61x = 2,546.70 × 723.69
  4. Step 4: Simplify right side
    1,697.61x = 1,843,021.32
  5. Step 5: Solve for x
    x = 1,843,021.32/1,697.61
  6. Step 6: Final answer
    x = 1,085.66

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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.