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Finding the Fourth Proportional to 925.64, 1,383.04 and 893.36

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Solution

The fourth proportional to 925.64, 1,383.04 and 893.36 is: 1,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.64 : 1,383.04 = 893.36 : x
  2. Step 2: Convert to fraction form
    925.64/1,383.04 = 893.36/x
  3. Step 3: Cross multiply
    925.64x = 1,383.04 × 893.36
  4. Step 4: Simplify right side
    925.64x = 1,235,552.61
  5. Step 5: Solve for x
    x = 1,235,552.61/925.64
  6. Step 6: Final answer
    x = 1,334.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.