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Finding the Fourth Proportional to 1,488.39, 2,232.41 and 392.84

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Solution

The fourth proportional to 1,488.39, 2,232.41 and 392.84 is: 589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.39 : 2,232.41 = 392.84 : x
  2. Step 2: Convert to fraction form
    1,488.39/2,232.41 = 392.84/x
  3. Step 3: Cross multiply
    1,488.39x = 2,232.41 × 392.84
  4. Step 4: Simplify right side
    1,488.39x = 876,966.82
  5. Step 5: Solve for x
    x = 876,966.82/1,488.39
  6. Step 6: Final answer
    x = 589.20

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1.5x scale

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.