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Finding the Fourth Proportional to 1,108.83, 1,663.98 and 719.01

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Solution

The fourth proportional to 1,108.83, 1,663.98 and 719.01 is: 1,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.83 : 1,663.98 = 719.01 : x
  2. Step 2: Convert to fraction form
    1,108.83/1,663.98 = 719.01/x
  3. Step 3: Cross multiply
    1,108.83x = 1,663.98 × 719.01
  4. Step 4: Simplify right side
    1,108.83x = 1,196,418.26
  5. Step 5: Solve for x
    x = 1,196,418.26/1,108.83
  6. Step 6: Final answer
    x = 1,078.99

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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.