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Finding the Fourth Proportional to 955.69, 1,434.86 and 493.81

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Solution

The fourth proportional to 955.69, 1,434.86 and 493.81 is: 741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.69 : 1,434.86 = 493.81 : x
  2. Step 2: Convert to fraction form
    955.69/1,434.86 = 493.81/x
  3. Step 3: Cross multiply
    955.69x = 1,434.86 × 493.81
  4. Step 4: Simplify right side
    955.69x = 708,548.22
  5. Step 5: Solve for x
    x = 708,548.22/955.69
  6. Step 6: Final answer
    x = 741.40

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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.