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Finding the Fourth Proportional to 1,017.78, 1,403.64 and 668.40

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Solution

The fourth proportional to 1,017.78, 1,403.64 and 668.40 is: 921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.78 : 1,403.64 = 668.40 : x
  2. Step 2: Convert to fraction form
    1,017.78/1,403.64 = 668.40/x
  3. Step 3: Cross multiply
    1,017.78x = 1,403.64 × 668.40
  4. Step 4: Simplify right side
    1,017.78x = 938,192.98
  5. Step 5: Solve for x
    x = 938,192.98/1,017.78
  6. Step 6: Final answer
    x = 921.80

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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.