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Finding the Fourth Proportional to 860.82, 1,187.93 and 467.84

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Solution

The fourth proportional to 860.82, 1,187.93 and 467.84 is: 645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.82 : 1,187.93 = 467.84 : x
  2. Step 2: Convert to fraction form
    860.82/1,187.93 = 467.84/x
  3. Step 3: Cross multiply
    860.82x = 1,187.93 × 467.84
  4. Step 4: Simplify right side
    860.82x = 555,758.83
  5. Step 5: Solve for x
    x = 555,758.83/860.82
  6. Step 6: Final answer
    x = 645.62

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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.