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Finding the Fourth Proportional to 1,022.05, 1,410.63 and 649.47

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Solution

The fourth proportional to 1,022.05, 1,410.63 and 649.47 is: 896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.05 : 1,410.63 = 649.47 : x
  2. Step 2: Convert to fraction form
    1,022.05/1,410.63 = 649.47/x
  3. Step 3: Cross multiply
    1,022.05x = 1,410.63 × 649.47
  4. Step 4: Simplify right side
    1,022.05x = 916,161.87
  5. Step 5: Solve for x
    x = 916,161.87/1,022.05
  6. Step 6: Final answer
    x = 896.40

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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.