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Finding the Fourth Proportional to 1,488.55, 2,232.84 and 393.02

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Solution

The fourth proportional to 1,488.55, 2,232.84 and 393.02 is: 589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.55 : 2,232.84 = 393.02 : x
  2. Step 2: Convert to fraction form
    1,488.55/2,232.84 = 393.02/x
  3. Step 3: Cross multiply
    1,488.55x = 2,232.84 × 393.02
  4. Step 4: Simplify right side
    1,488.55x = 877,550.78
  5. Step 5: Solve for x
    x = 877,550.78/1,488.55
  6. Step 6: Final answer
    x = 589.53

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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.