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Finding the Fourth Proportional to 1,039.07, 1,558.46 and 461.81

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Solution

The fourth proportional to 1,039.07, 1,558.46 and 461.81 is: 692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.07 : 1,558.46 = 461.81 : x
  2. Step 2: Convert to fraction form
    1,039.07/1,558.46 = 461.81/x
  3. Step 3: Cross multiply
    1,039.07x = 1,558.46 × 461.81
  4. Step 4: Simplify right side
    1,039.07x = 719,717.46
  5. Step 5: Solve for x
    x = 719,717.46/1,039.07
  6. Step 6: Final answer
    x = 692.65

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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.