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Finding the Fourth Proportional to 1,022.51, 1,411.19 and 649.50

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Solution

The fourth proportional to 1,022.51, 1,411.19 and 649.50 is: 896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.51 : 1,411.19 = 649.50 : x
  2. Step 2: Convert to fraction form
    1,022.51/1,411.19 = 649.50/x
  3. Step 3: Cross multiply
    1,022.51x = 1,411.19 × 649.50
  4. Step 4: Simplify right side
    1,022.51x = 916,564.66
  5. Step 5: Solve for x
    x = 916,564.66/1,022.51
  6. Step 6: Final answer
    x = 896.39

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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.