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Finding the Fourth Proportional to 738.34, 1,107.51 and 390.82

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Solution

The fourth proportional to 738.34, 1,107.51 and 390.82 is: 586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.34 : 1,107.51 = 390.82 : x
  2. Step 2: Convert to fraction form
    738.34/1,107.51 = 390.82/x
  3. Step 3: Cross multiply
    738.34x = 1,107.51 × 390.82
  4. Step 4: Simplify right side
    738.34x = 432,837.06
  5. Step 5: Solve for x
    x = 432,837.06/738.34
  6. Step 6: Final answer
    x = 586.23

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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.