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Finding the Fourth Proportional to 953.77, 1,431.18 and 466.82

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Solution

The fourth proportional to 953.77, 1,431.18 and 466.82 is: 700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.77 : 1,431.18 = 466.82 : x
  2. Step 2: Convert to fraction form
    953.77/1,431.18 = 466.82/x
  3. Step 3: Cross multiply
    953.77x = 1,431.18 × 466.82
  4. Step 4: Simplify right side
    953.77x = 668,101.11
  5. Step 5: Solve for x
    x = 668,101.11/953.77
  6. Step 6: Final answer
    x = 700.49

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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.