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Finding the Fourth Proportional to 1,573.11, 2,359.67 and 477.49

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Solution

The fourth proportional to 1,573.11, 2,359.67 and 477.49 is: 716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.11 : 2,359.67 = 477.49 : x
  2. Step 2: Convert to fraction form
    1,573.11/2,359.67 = 477.49/x
  3. Step 3: Cross multiply
    1,573.11x = 2,359.67 × 477.49
  4. Step 4: Simplify right side
    1,573.11x = 1,126,708.22
  5. Step 5: Solve for x
    x = 1,126,708.22/1,573.11
  6. Step 6: Final answer
    x = 716.23

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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.