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Finding the Fourth Proportional to 1,283.90, 1,927.06 and 668.05

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Solution

The fourth proportional to 1,283.90, 1,927.06 and 668.05 is: 1,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.90 : 1,927.06 = 668.05 : x
  2. Step 2: Convert to fraction form
    1,283.90/1,927.06 = 668.05/x
  3. Step 3: Cross multiply
    1,283.90x = 1,927.06 × 668.05
  4. Step 4: Simplify right side
    1,283.90x = 1,287,365.95
  5. Step 5: Solve for x
    x = 1,287,365.95/1,283.90
  6. Step 6: Final answer
    x = 1,002.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.