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Finding the Fourth Proportional to 755.84, 1,133.96 and 390.48

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Solution

The fourth proportional to 755.84, 1,133.96 and 390.48 is: 585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.84 : 1,133.96 = 390.48 : x
  2. Step 2: Convert to fraction form
    755.84/1,133.96 = 390.48/x
  3. Step 3: Cross multiply
    755.84x = 1,133.96 × 390.48
  4. Step 4: Simplify right side
    755.84x = 442,788.70
  5. Step 5: Solve for x
    x = 442,788.70/755.84
  6. Step 6: Final answer
    x = 585.82

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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.