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Finding the Fourth Proportional to 854.93, 1,282.81 and 464.92

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Solution

The fourth proportional to 854.93, 1,282.81 and 464.92 is: 697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.93 : 1,282.81 = 464.92 : x
  2. Step 2: Convert to fraction form
    854.93/1,282.81 = 464.92/x
  3. Step 3: Cross multiply
    854.93x = 1,282.81 × 464.92
  4. Step 4: Simplify right side
    854.93x = 596,395.29
  5. Step 5: Solve for x
    x = 596,395.29/854.93
  6. Step 6: Final answer
    x = 697.60

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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.