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Finding the Fourth Proportional to 1,216.02, 1,678.32 and 692.04

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Solution

The fourth proportional to 1,216.02, 1,678.32 and 692.04 is: 955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.02 : 1,678.32 = 692.04 : x
  2. Step 2: Convert to fraction form
    1,216.02/1,678.32 = 692.04/x
  3. Step 3: Cross multiply
    1,216.02x = 1,678.32 × 692.04
  4. Step 4: Simplify right side
    1,216.02x = 1,161,464.57
  5. Step 5: Solve for x
    x = 1,161,464.57/1,216.02
  6. Step 6: Final answer
    x = 955.14

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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.