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Finding the Fourth Proportional to 857.72, 1,183.65 and 464.75

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Solution

The fourth proportional to 857.72, 1,183.65 and 464.75 is: 641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.72 : 1,183.65 = 464.75 : x
  2. Step 2: Convert to fraction form
    857.72/1,183.65 = 464.75/x
  3. Step 3: Cross multiply
    857.72x = 1,183.65 × 464.75
  4. Step 4: Simplify right side
    857.72x = 550,095.42
  5. Step 5: Solve for x
    x = 550,095.42/857.72
  6. Step 6: Final answer
    x = 641.35

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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.