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Finding the Fourth Proportional to 1,022.83, 1,411.00 and 668.60

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Solution

The fourth proportional to 1,022.83, 1,411.00 and 668.60 is: 922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.83 : 1,411.00 = 668.60 : x
  2. Step 2: Convert to fraction form
    1,022.83/1,411.00 = 668.60/x
  3. Step 3: Cross multiply
    1,022.83x = 1,411.00 × 668.60
  4. Step 4: Simplify right side
    1,022.83x = 943,402.86
  5. Step 5: Solve for x
    x = 943,402.86/1,022.83
  6. Step 6: Final answer
    x = 922.35

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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.