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Finding the Fourth Proportional to 1,046.94, 1,444.97 and 692.87

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Solution

The fourth proportional to 1,046.94, 1,444.97 and 692.87 is: 956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.94 : 1,444.97 = 692.87 : x
  2. Step 2: Convert to fraction form
    1,046.94/1,444.97 = 692.87/x
  3. Step 3: Cross multiply
    1,046.94x = 1,444.97 × 692.87
  4. Step 4: Simplify right side
    1,046.94x = 1,001,169.14
  5. Step 5: Solve for x
    x = 1,001,169.14/1,046.94
  6. Step 6: Final answer
    x = 956.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.