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Finding the Fourth Proportional to 712.06, 1,068.24 and 225.15

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Solution

The fourth proportional to 712.06, 1,068.24 and 225.15 is: 337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.06 : 1,068.24 = 225.15 : x
  2. Step 2: Convert to fraction form
    712.06/1,068.24 = 225.15/x
  3. Step 3: Cross multiply
    712.06x = 1,068.24 × 225.15
  4. Step 4: Simplify right side
    712.06x = 240,509.81
  5. Step 5: Solve for x
    x = 240,509.81/712.06
  6. Step 6: Final answer
    x = 337.77

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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.