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Finding the Fourth Proportional to 1,007.71, 1,389.41 and 692.35

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Solution

The fourth proportional to 1,007.71, 1,389.41 and 692.35 is: 954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.71 : 1,389.41 = 692.35 : x
  2. Step 2: Convert to fraction form
    1,007.71/1,389.41 = 692.35/x
  3. Step 3: Cross multiply
    1,007.71x = 1,389.41 × 692.35
  4. Step 4: Simplify right side
    1,007.71x = 961,954.55
  5. Step 5: Solve for x
    x = 961,954.55/1,007.71
  6. Step 6: Final answer
    x = 954.59

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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.