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Finding the Fourth Proportional to 738.41, 1,099.55 and 712.15

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Solution

The fourth proportional to 738.41, 1,099.55 and 712.15 is: 1,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.41 : 1,099.55 = 712.15 : x
  2. Step 2: Convert to fraction form
    738.41/1,099.55 = 712.15/x
  3. Step 3: Cross multiply
    738.41x = 1,099.55 × 712.15
  4. Step 4: Simplify right side
    738.41x = 783,043.56
  5. Step 5: Solve for x
    x = 783,043.56/738.41
  6. Step 6: Final answer
    x = 1,060.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.