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Finding the Fourth Proportional to 857.58, 1,286.16 and 467.16

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Solution

The fourth proportional to 857.58, 1,286.16 and 467.16 is: 700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.58 : 1,286.16 = 467.16 : x
  2. Step 2: Convert to fraction form
    857.58/1,286.16 = 467.16/x
  3. Step 3: Cross multiply
    857.58x = 1,286.16 × 467.16
  4. Step 4: Simplify right side
    857.58x = 600,842.51
  5. Step 5: Solve for x
    x = 600,842.51/857.58
  6. Step 6: Final answer
    x = 700.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.