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Finding the Fourth Proportional to 742.47, 1,113.75 and 455.73

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Solution

The fourth proportional to 742.47, 1,113.75 and 455.73 is: 683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.47 : 1,113.75 = 455.73 : x
  2. Step 2: Convert to fraction form
    742.47/1,113.75 = 455.73/x
  3. Step 3: Cross multiply
    742.47x = 1,113.75 × 455.73
  4. Step 4: Simplify right side
    742.47x = 507,569.29
  5. Step 5: Solve for x
    x = 507,569.29/742.47
  6. Step 6: Final answer
    x = 683.62

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Why These Related Problems?

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