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Finding the Fourth Proportional to 953.86, 1,431.56 and 491.86

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Solution

The fourth proportional to 953.86, 1,431.56 and 491.86 is: 738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.86 : 1,431.56 = 491.86 : x
  2. Step 2: Convert to fraction form
    953.86/1,431.56 = 491.86/x
  3. Step 3: Cross multiply
    953.86x = 1,431.56 × 491.86
  4. Step 4: Simplify right side
    953.86x = 704,127.10
  5. Step 5: Solve for x
    x = 704,127.10/953.86
  6. Step 6: Final answer
    x = 738.19

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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.