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Finding the Fourth Proportional to 755.84, 1,132.88 and 322.88

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Solution

The fourth proportional to 755.84, 1,132.88 and 322.88 is: 483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.84 : 1,132.88 = 322.88 : x
  2. Step 2: Convert to fraction form
    755.84/1,132.88 = 322.88/x
  3. Step 3: Cross multiply
    755.84x = 1,132.88 × 322.88
  4. Step 4: Simplify right side
    755.84x = 365,784.29
  5. Step 5: Solve for x
    x = 365,784.29/755.84
  6. Step 6: Final answer
    x = 483.94

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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.