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Finding the Fourth Proportional to 1,216.35, 1,678.57 and 692.38

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Solution

The fourth proportional to 1,216.35, 1,678.57 and 692.38 is: 955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.35 : 1,678.57 = 692.38 : x
  2. Step 2: Convert to fraction form
    1,216.35/1,678.57 = 692.38/x
  3. Step 3: Cross multiply
    1,216.35x = 1,678.57 × 692.38
  4. Step 4: Simplify right side
    1,216.35x = 1,162,199.90
  5. Step 5: Solve for x
    x = 1,162,199.90/1,216.35
  6. Step 6: Final answer
    x = 955.49

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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.