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Finding the Fourth Proportional to 854.18, 1,283.66 and 507.57

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Solution

The fourth proportional to 854.18, 1,283.66 and 507.57 is: 762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.18 : 1,283.66 = 507.57 : x
  2. Step 2: Convert to fraction form
    854.18/1,283.66 = 507.57/x
  3. Step 3: Cross multiply
    854.18x = 1,283.66 × 507.57
  4. Step 4: Simplify right side
    854.18x = 651,544.71
  5. Step 5: Solve for x
    x = 651,544.71/854.18
  6. Step 6: Final answer
    x = 762.77

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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.