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Finding the Fourth Proportional to 854.84, 1,284.69 and 508.26

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Solution

The fourth proportional to 854.84, 1,284.69 and 508.26 is: 763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.84 : 1,284.69 = 508.26 : x
  2. Step 2: Convert to fraction form
    854.84/1,284.69 = 508.26/x
  3. Step 3: Cross multiply
    854.84x = 1,284.69 × 508.26
  4. Step 4: Simplify right side
    854.84x = 652,956.54
  5. Step 5: Solve for x
    x = 652,956.54/854.84
  6. Step 6: Final answer
    x = 763.84

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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.