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Finding the Fourth Proportional to 738.06, 1,107.06 and 712.10

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Solution

The fourth proportional to 738.06, 1,107.06 and 712.10 is: 1,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.06 : 1,107.06 = 712.10 : x
  2. Step 2: Convert to fraction form
    738.06/1,107.06 = 712.10/x
  3. Step 3: Cross multiply
    738.06x = 1,107.06 × 712.10
  4. Step 4: Simplify right side
    738.06x = 788,337.43
  5. Step 5: Solve for x
    x = 788,337.43/738.06
  6. Step 6: Final answer
    x = 1,068.12

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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.