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Finding the Fourth Proportional to 1,109.46, 1,664.57 and 561.18

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Solution

The fourth proportional to 1,109.46, 1,664.57 and 561.18 is: 841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.46 : 1,664.57 = 561.18 : x
  2. Step 2: Convert to fraction form
    1,109.46/1,664.57 = 561.18/x
  3. Step 3: Cross multiply
    1,109.46x = 1,664.57 × 561.18
  4. Step 4: Simplify right side
    1,109.46x = 934,123.39
  5. Step 5: Solve for x
    x = 934,123.39/1,109.46
  6. Step 6: Final answer
    x = 841.96

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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.