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Finding the Fourth Proportional to 1,111.04, 1,663.80 and 563.48

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Solution

The fourth proportional to 1,111.04, 1,663.80 and 563.48 is: 843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.04 : 1,663.80 = 563.48 : x
  2. Step 2: Convert to fraction form
    1,111.04/1,663.80 = 563.48/x
  3. Step 3: Cross multiply
    1,111.04x = 1,663.80 × 563.48
  4. Step 4: Simplify right side
    1,111.04x = 937,509.71
  5. Step 5: Solve for x
    x = 937,509.71/1,111.04
  6. Step 6: Final answer
    x = 843.82

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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.