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Finding the Fourth Proportional to 1,216.57, 1,678.90 and 692.63

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Solution

The fourth proportional to 1,216.57, 1,678.90 and 692.63 is: 955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.57 : 1,678.90 = 692.63 : x
  2. Step 2: Convert to fraction form
    1,216.57/1,678.90 = 692.63/x
  3. Step 3: Cross multiply
    1,216.57x = 1,678.90 × 692.63
  4. Step 4: Simplify right side
    1,216.57x = 1,162,856.51
  5. Step 5: Solve for x
    x = 1,162,856.51/1,216.57
  6. Step 6: Final answer
    x = 955.85

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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.