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Finding the Fourth Proportional to 953.97, 1,430.87 and 491.46

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Solution

The fourth proportional to 953.97, 1,430.87 and 491.46 is: 737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.97 : 1,430.87 = 491.46 : x
  2. Step 2: Convert to fraction form
    953.97/1,430.87 = 491.46/x
  3. Step 3: Cross multiply
    953.97x = 1,430.87 × 491.46
  4. Step 4: Simplify right side
    953.97x = 703,212.91
  5. Step 5: Solve for x
    x = 703,212.91/953.97
  6. Step 6: Final answer
    x = 737.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.