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Finding the Fourth Proportional to 828.02, 1,142.30 and 562.14

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Solution

The fourth proportional to 828.02, 1,142.30 and 562.14 is: 775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.02 : 1,142.30 = 562.14 : x
  2. Step 2: Convert to fraction form
    828.02/1,142.30 = 562.14/x
  3. Step 3: Cross multiply
    828.02x = 1,142.30 × 562.14
  4. Step 4: Simplify right side
    828.02x = 642,133.93
  5. Step 5: Solve for x
    x = 642,133.93/828.02
  6. Step 6: Final answer
    x = 775.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.