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Finding the Fourth Proportional to 736.76, 1,016.76 and 426.28

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Solution

The fourth proportional to 736.76, 1,016.76 and 426.28 is: 588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.76 : 1,016.76 = 426.28 : x
  2. Step 2: Convert to fraction form
    736.76/1,016.76 = 426.28/x
  3. Step 3: Cross multiply
    736.76x = 1,016.76 × 426.28
  4. Step 4: Simplify right side
    736.76x = 433,424.45
  5. Step 5: Solve for x
    x = 433,424.45/736.76
  6. Step 6: Final answer
    x = 588.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.