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Finding the Fourth Proportional to 857.33, 1,183.10 and 464.35

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Solution

The fourth proportional to 857.33, 1,183.10 and 464.35 is: 640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.33 : 1,183.10 = 464.35 : x
  2. Step 2: Convert to fraction form
    857.33/1,183.10 = 464.35/x
  3. Step 3: Cross multiply
    857.33x = 1,183.10 × 464.35
  4. Step 4: Simplify right side
    857.33x = 549,376.81
  5. Step 5: Solve for x
    x = 549,376.81/857.33
  6. Step 6: Final answer
    x = 640.80

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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.