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Finding the Fourth Proportional to 854.70, 1,282.25 and 465.09

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Solution

The fourth proportional to 854.70, 1,282.25 and 465.09 is: 697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.70 : 1,282.25 = 465.09 : x
  2. Step 2: Convert to fraction form
    854.70/1,282.25 = 465.09/x
  3. Step 3: Cross multiply
    854.70x = 1,282.25 × 465.09
  4. Step 4: Simplify right side
    854.70x = 596,358.01
  5. Step 5: Solve for x
    x = 596,358.01/854.70
  6. Step 6: Final answer
    x = 697.74

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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.