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Finding the Fourth Proportional to 742.42, 1,113.29 and 434.36

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Solution

The fourth proportional to 742.42, 1,113.29 and 434.36 is: 651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.42 : 1,113.29 = 434.36 : x
  2. Step 2: Convert to fraction form
    742.42/1,113.29 = 434.36/x
  3. Step 3: Cross multiply
    742.42x = 1,113.29 × 434.36
  4. Step 4: Simplify right side
    742.42x = 483,573.33
  5. Step 5: Solve for x
    x = 483,573.33/742.42
  6. Step 6: Final answer
    x = 651.35

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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.