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Finding the Fourth Proportional to 1,548.41, 2,321.40 and 573.98

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Solution

The fourth proportional to 1,548.41, 2,321.40 and 573.98 is: 860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.41 : 2,321.40 = 573.98 : x
  2. Step 2: Convert to fraction form
    1,548.41/2,321.40 = 573.98/x
  3. Step 3: Cross multiply
    1,548.41x = 2,321.40 × 573.98
  4. Step 4: Simplify right side
    1,548.41x = 1,332,437.17
  5. Step 5: Solve for x
    x = 1,332,437.17/1,548.41
  6. Step 6: Final answer
    x = 860.52

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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.