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Finding the Fourth Proportional to 1,488.37, 2,232.55 and 392.82

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Solution

The fourth proportional to 1,488.37, 2,232.55 and 392.82 is: 589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.37 : 2,232.55 = 392.82 : x
  2. Step 2: Convert to fraction form
    1,488.37/2,232.55 = 392.82/x
  3. Step 3: Cross multiply
    1,488.37x = 2,232.55 × 392.82
  4. Step 4: Simplify right side
    1,488.37x = 876,980.94
  5. Step 5: Solve for x
    x = 876,980.94/1,488.37
  6. Step 6: Final answer
    x = 589.22

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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.