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Finding the Fourth Proportional to 1,022.66, 1,411.86 and 649.94

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Solution

The fourth proportional to 1,022.66, 1,411.86 and 649.94 is: 897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.66 : 1,411.86 = 649.94 : x
  2. Step 2: Convert to fraction form
    1,022.66/1,411.86 = 649.94/x
  3. Step 3: Cross multiply
    1,022.66x = 1,411.86 × 649.94
  4. Step 4: Simplify right side
    1,022.66x = 917,624.29
  5. Step 5: Solve for x
    x = 917,624.29/1,022.66
  6. Step 6: Final answer
    x = 897.29

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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.