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Finding the Fourth Proportional to 1,022.07, 1,411.32 and 649.68

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Solution

The fourth proportional to 1,022.07, 1,411.32 and 649.68 is: 897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.07 : 1,411.32 = 649.68 : x
  2. Step 2: Convert to fraction form
    1,022.07/1,411.32 = 649.68/x
  3. Step 3: Cross multiply
    1,022.07x = 1,411.32 × 649.68
  4. Step 4: Simplify right side
    1,022.07x = 916,906.38
  5. Step 5: Solve for x
    x = 916,906.38/1,022.07
  6. Step 6: Final answer
    x = 897.11

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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.