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Finding the Fourth Proportional to 742.23, 1,113.35 and 417.83

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Solution

The fourth proportional to 742.23, 1,113.35 and 417.83 is: 626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.23 : 1,113.35 = 417.83 : x
  2. Step 2: Convert to fraction form
    742.23/1,113.35 = 417.83/x
  3. Step 3: Cross multiply
    742.23x = 1,113.35 × 417.83
  4. Step 4: Simplify right side
    742.23x = 465,191.03
  5. Step 5: Solve for x
    x = 465,191.03/742.23
  6. Step 6: Final answer
    x = 626.75

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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.