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Finding the Fourth Proportional to 795.58, 1,192.22 and 548.53

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Solution

The fourth proportional to 795.58, 1,192.22 and 548.53 is: 822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.58 : 1,192.22 = 548.53 : x
  2. Step 2: Convert to fraction form
    795.58/1,192.22 = 548.53/x
  3. Step 3: Cross multiply
    795.58x = 1,192.22 × 548.53
  4. Step 4: Simplify right side
    795.58x = 653,962.71
  5. Step 5: Solve for x
    x = 653,962.71/795.58
  6. Step 6: Final answer
    x = 822.00

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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.