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Finding the Fourth Proportional to 738.53, 1,018.91 and 458.48

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Solution

The fourth proportional to 738.53, 1,018.91 and 458.48 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.53 : 1,018.91 = 458.48 : x
  2. Step 2: Convert to fraction form
    738.53/1,018.91 = 458.48/x
  3. Step 3: Cross multiply
    738.53x = 1,018.91 × 458.48
  4. Step 4: Simplify right side
    738.53x = 467,149.86
  5. Step 5: Solve for x
    x = 467,149.86/738.53
  6. Step 6: Final answer
    x = 632.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.