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Finding the Fourth Proportional to 1,572.73, 2,359.22 and 477.19

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Solution

The fourth proportional to 1,572.73, 2,359.22 and 477.19 is: 715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.73 : 2,359.22 = 477.19 : x
  2. Step 2: Convert to fraction form
    1,572.73/2,359.22 = 477.19/x
  3. Step 3: Cross multiply
    1,572.73x = 2,359.22 × 477.19
  4. Step 4: Simplify right side
    1,572.73x = 1,125,796.19
  5. Step 5: Solve for x
    x = 1,125,796.19/1,572.73
  6. Step 6: Final answer
    x = 715.82

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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.