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Finding the Fourth Proportional to 1,022.60, 1,411.62 and 649.60

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Solution

The fourth proportional to 1,022.60, 1,411.62 and 649.60 is: 896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.60 : 1,411.62 = 649.60 : x
  2. Step 2: Convert to fraction form
    1,022.60/1,411.62 = 649.60/x
  3. Step 3: Cross multiply
    1,022.60x = 1,411.62 × 649.60
  4. Step 4: Simplify right side
    1,022.60x = 916,988.35
  5. Step 5: Solve for x
    x = 916,988.35/1,022.60
  6. Step 6: Final answer
    x = 896.72

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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.