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Finding the Fourth Proportional to 1,046.52, 1,571.06 and 491.76

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Solution

The fourth proportional to 1,046.52, 1,571.06 and 491.76 is: 738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.52 : 1,571.06 = 491.76 : x
  2. Step 2: Convert to fraction form
    1,046.52/1,571.06 = 491.76/x
  3. Step 3: Cross multiply
    1,046.52x = 1,571.06 × 491.76
  4. Step 4: Simplify right side
    1,046.52x = 772,584.47
  5. Step 5: Solve for x
    x = 772,584.47/1,046.52
  6. Step 6: Final answer
    x = 738.24

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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.