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Finding the Fourth Proportional to 860.42, 1,187.38 and 467.44

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Solution

The fourth proportional to 860.42, 1,187.38 and 467.44 is: 645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.42 : 1,187.38 = 467.44 : x
  2. Step 2: Convert to fraction form
    860.42/1,187.38 = 467.44/x
  3. Step 3: Cross multiply
    860.42x = 1,187.38 × 467.44
  4. Step 4: Simplify right side
    860.42x = 555,028.91
  5. Step 5: Solve for x
    x = 555,028.91/860.42
  6. Step 6: Final answer
    x = 645.07

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Half scale
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Double scale
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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.