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Finding the Fourth Proportional to 1,403, 2,105.46 and 491

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Solution

The fourth proportional to 1,403, 2,105.46 and 491 is: 736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403 : 2,105.46 = 491 : x
  2. Step 2: Convert to fraction form
    1,403/2,105.46 = 491/x
  3. Step 3: Cross multiply
    1,403x = 2,105.46 × 491
  4. Step 4: Simplify right side
    1,403x = 1,033,780.86
  5. Step 5: Solve for x
    x = 1,033,780.86/1,403
  6. Step 6: Final answer
    x = 736.84

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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.