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Finding the Fourth Proportional to 851.77, 1,278.02 and 466.57

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Solution

The fourth proportional to 851.77, 1,278.02 and 466.57 is: 700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.77 : 1,278.02 = 466.57 : x
  2. Step 2: Convert to fraction form
    851.77/1,278.02 = 466.57/x
  3. Step 3: Cross multiply
    851.77x = 1,278.02 × 466.57
  4. Step 4: Simplify right side
    851.77x = 596,285.79
  5. Step 5: Solve for x
    x = 596,285.79/851.77
  6. Step 6: Final answer
    x = 700.05

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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.