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Finding the Fourth Proportional to 1,108.47, 1,663.72 and 561.03

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Solution

The fourth proportional to 1,108.47, 1,663.72 and 561.03 is: 842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.47 : 1,663.72 = 561.03 : x
  2. Step 2: Convert to fraction form
    1,108.47/1,663.72 = 561.03/x
  3. Step 3: Cross multiply
    1,108.47x = 1,663.72 × 561.03
  4. Step 4: Simplify right side
    1,108.47x = 933,399.59
  5. Step 5: Solve for x
    x = 933,399.59/1,108.47
  6. Step 6: Final answer
    x = 842.07

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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.