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Finding the Fourth Proportional to 822.46, 1,134.30 and 665.02

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Solution

The fourth proportional to 822.46, 1,134.30 and 665.02 is: 917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.46 : 1,134.30 = 665.02 : x
  2. Step 2: Convert to fraction form
    822.46/1,134.30 = 665.02/x
  3. Step 3: Cross multiply
    822.46x = 1,134.30 × 665.02
  4. Step 4: Simplify right side
    822.46x = 754,332.19
  5. Step 5: Solve for x
    x = 754,332.19/822.46
  6. Step 6: Final answer
    x = 917.17

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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.