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Finding the Fourth Proportional to 1,109.98, 1,665.99 and 1,043.00

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Solution

The fourth proportional to 1,109.98, 1,665.99 and 1,043.00 is: 1,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.98 : 1,665.99 = 1,043.00 : x
  2. Step 2: Convert to fraction form
    1,109.98/1,665.99 = 1,043.00/x
  3. Step 3: Cross multiply
    1,109.98x = 1,665.99 × 1,043.00
  4. Step 4: Simplify right side
    1,109.98x = 1,737,633.11
  5. Step 5: Solve for x
    x = 1,737,633.11/1,109.98
  6. Step 6: Final answer
    x = 1,565.47

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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.