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Finding the Fourth Proportional to 794.84, 1,192.24 and 508.10

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Solution

The fourth proportional to 794.84, 1,192.24 and 508.10 is: 762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.84 : 1,192.24 = 508.10 : x
  2. Step 2: Convert to fraction form
    794.84/1,192.24 = 508.10/x
  3. Step 3: Cross multiply
    794.84x = 1,192.24 × 508.10
  4. Step 4: Simplify right side
    794.84x = 605,777.14
  5. Step 5: Solve for x
    x = 605,777.14/794.84
  6. Step 6: Final answer
    x = 762.14

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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.