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Finding the Fourth Proportional to 953.71, 1,430.57 and 466.63

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Solution

The fourth proportional to 953.71, 1,430.57 and 466.63 is: 699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.71 : 1,430.57 = 466.63 : x
  2. Step 2: Convert to fraction form
    953.71/1,430.57 = 466.63/x
  3. Step 3: Cross multiply
    953.71x = 1,430.57 × 466.63
  4. Step 4: Simplify right side
    953.71x = 667,537.39
  5. Step 5: Solve for x
    x = 667,537.39/953.71
  6. Step 6: Final answer
    x = 699.94

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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.