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Finding the Fourth Proportional to 738.56, 1,024.64 and 708.48

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Solution

The fourth proportional to 738.56, 1,024.64 and 708.48 is: 982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.56 : 1,024.64 = 708.48 : x
  2. Step 2: Convert to fraction form
    738.56/1,024.64 = 708.48/x
  3. Step 3: Cross multiply
    738.56x = 1,024.64 × 708.48
  4. Step 4: Simplify right side
    738.56x = 725,936.95
  5. Step 5: Solve for x
    x = 725,936.95/738.56
  6. Step 6: Final answer
    x = 982.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.