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Finding the Fourth Proportional to 1,283.64, 1,925.19 and 667.77

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Solution

The fourth proportional to 1,283.64, 1,925.19 and 667.77 is: 1,001.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.64 : 1,925.19 = 667.77 : x
  2. Step 2: Convert to fraction form
    1,283.64/1,925.19 = 667.77/x
  3. Step 3: Cross multiply
    1,283.64x = 1,925.19 × 667.77
  4. Step 4: Simplify right side
    1,283.64x = 1,285,584.13
  5. Step 5: Solve for x
    x = 1,285,584.13/1,283.64
  6. Step 6: Final answer
    x = 1,001.51

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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.