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Finding the Fourth Proportional to 857.53, 1,183.39 and 464.55

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Solution

The fourth proportional to 857.53, 1,183.39 and 464.55 is: 641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.53 : 1,183.39 = 464.55 : x
  2. Step 2: Convert to fraction form
    857.53/1,183.39 = 464.55/x
  3. Step 3: Cross multiply
    857.53x = 1,183.39 × 464.55
  4. Step 4: Simplify right side
    857.53x = 549,743.82
  5. Step 5: Solve for x
    x = 549,743.82/857.53
  6. Step 6: Final answer
    x = 641.08

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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.