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Finding the Fourth Proportional to 1,563.89, 2,346.44 and 697.59

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Solution

The fourth proportional to 1,563.89, 2,346.44 and 697.59 is: 1,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.89 : 2,346.44 = 697.59 : x
  2. Step 2: Convert to fraction form
    1,563.89/2,346.44 = 697.59/x
  3. Step 3: Cross multiply
    1,563.89x = 2,346.44 × 697.59
  4. Step 4: Simplify right side
    1,563.89x = 1,636,849.59
  5. Step 5: Solve for x
    x = 1,636,849.59/1,563.89
  6. Step 6: Final answer
    x = 1,046.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.