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Finding the Fourth Proportional to 857.58, 1,183.47 and 464.61

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Solution

The fourth proportional to 857.58, 1,183.47 and 464.61 is: 641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.58 : 1,183.47 = 464.61 : x
  2. Step 2: Convert to fraction form
    857.58/1,183.47 = 464.61/x
  3. Step 3: Cross multiply
    857.58x = 1,183.47 × 464.61
  4. Step 4: Simplify right side
    857.58x = 549,852.00
  5. Step 5: Solve for x
    x = 549,852.00/857.58
  6. Step 6: Final answer
    x = 641.17

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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.