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Finding the Fourth Proportional to 1,354.37, 2,031.28 and 623.84

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Solution

The fourth proportional to 1,354.37, 2,031.28 and 623.84 is: 935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.37 : 2,031.28 = 623.84 : x
  2. Step 2: Convert to fraction form
    1,354.37/2,031.28 = 623.84/x
  3. Step 3: Cross multiply
    1,354.37x = 2,031.28 × 623.84
  4. Step 4: Simplify right side
    1,354.37x = 1,267,182.00
  5. Step 5: Solve for x
    x = 1,267,182.00/1,354.37
  6. Step 6: Final answer
    x = 935.63

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