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Finding the Fourth Proportional to 712.25, 1,068.86 and 256.25

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Solution

The fourth proportional to 712.25, 1,068.86 and 256.25 is: 384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.25 : 1,068.86 = 256.25 : x
  2. Step 2: Convert to fraction form
    712.25/1,068.86 = 256.25/x
  3. Step 3: Cross multiply
    712.25x = 1,068.86 × 256.25
  4. Step 4: Simplify right side
    712.25x = 273,894.09
  5. Step 5: Solve for x
    x = 273,894.09/712.25
  6. Step 6: Final answer
    x = 384.55

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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.