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Finding the Fourth Proportional to 1,047.86, 1,571.51 and 498.95

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Solution

The fourth proportional to 1,047.86, 1,571.51 and 498.95 is: 748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.86 : 1,571.51 = 498.95 : x
  2. Step 2: Convert to fraction form
    1,047.86/1,571.51 = 498.95/x
  3. Step 3: Cross multiply
    1,047.86x = 1,571.51 × 498.95
  4. Step 4: Simplify right side
    1,047.86x = 784,104.91
  5. Step 5: Solve for x
    x = 784,104.91/1,047.86
  6. Step 6: Final answer
    x = 748.29

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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.