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Finding the Fourth Proportional to 1,216.41, 1,678.95 and 692.75

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Solution

The fourth proportional to 1,216.41, 1,678.95 and 692.75 is: 956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.41 : 1,678.95 = 692.75 : x
  2. Step 2: Convert to fraction form
    1,216.41/1,678.95 = 692.75/x
  3. Step 3: Cross multiply
    1,216.41x = 1,678.95 × 692.75
  4. Step 4: Simplify right side
    1,216.41x = 1,163,084.22
  5. Step 5: Solve for x
    x = 1,163,084.22/1,216.41
  6. Step 6: Final answer
    x = 956.16

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Why These Related Problems?

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