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Finding the Fourth Proportional to 860.21, 1,187.10 and 467.24

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Solution

The fourth proportional to 860.21, 1,187.10 and 467.24 is: 644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.21 : 1,187.10 = 467.24 : x
  2. Step 2: Convert to fraction form
    860.21/1,187.10 = 467.24/x
  3. Step 3: Cross multiply
    860.21x = 1,187.10 × 467.24
  4. Step 4: Simplify right side
    860.21x = 554,654.67
  5. Step 5: Solve for x
    x = 554,654.67/860.21
  6. Step 6: Final answer
    x = 644.79

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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.