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Finding the Fourth Proportional to 1,216.92, 1,679.58 and 692.94

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Solution

The fourth proportional to 1,216.92, 1,679.58 and 692.94 is: 956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.92 : 1,679.58 = 692.94 : x
  2. Step 2: Convert to fraction form
    1,216.92/1,679.58 = 692.94/x
  3. Step 3: Cross multiply
    1,216.92x = 1,679.58 × 692.94
  4. Step 4: Simplify right side
    1,216.92x = 1,163,848.17
  5. Step 5: Solve for x
    x = 1,163,848.17/1,216.92
  6. Step 6: Final answer
    x = 956.39

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1.5x scale

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.