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Finding the Fourth Proportional to 1,573.67, 2,359.80 and 477.80

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Solution

The fourth proportional to 1,573.67, 2,359.80 and 477.80 is: 716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.67 : 2,359.80 = 477.80 : x
  2. Step 2: Convert to fraction form
    1,573.67/2,359.80 = 477.80/x
  3. Step 3: Cross multiply
    1,573.67x = 2,359.80 × 477.80
  4. Step 4: Simplify right side
    1,573.67x = 1,127,512.44
  5. Step 5: Solve for x
    x = 1,127,512.44/1,573.67
  6. Step 6: Final answer
    x = 716.49

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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.