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Finding the Fourth Proportional to 742.65, 1,113.96 and 352.93

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Solution

The fourth proportional to 742.65, 1,113.96 and 352.93 is: 529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.65 : 1,113.96 = 352.93 : x
  2. Step 2: Convert to fraction form
    742.65/1,113.96 = 352.93/x
  3. Step 3: Cross multiply
    742.65x = 1,113.96 × 352.93
  4. Step 4: Simplify right side
    742.65x = 393,152.32
  5. Step 5: Solve for x
    x = 393,152.32/742.65
  6. Step 6: Final answer
    x = 529.39

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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.