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Finding the Fourth Proportional to 1,573.18, 2,359.73 and 387.20

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Solution

The fourth proportional to 1,573.18, 2,359.73 and 387.20 is: 580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.18 : 2,359.73 = 387.20 : x
  2. Step 2: Convert to fraction form
    1,573.18/2,359.73 = 387.20/x
  3. Step 3: Cross multiply
    1,573.18x = 2,359.73 × 387.20
  4. Step 4: Simplify right side
    1,573.18x = 913,694.32
  5. Step 5: Solve for x
    x = 913,694.32/1,573.18
  6. Step 6: Final answer
    x = 580.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.