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Finding the Fourth Proportional to 784.84, 1,083.56 and 548.68

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Solution

The fourth proportional to 784.84, 1,083.56 and 548.68 is: 757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.84 : 1,083.56 = 548.68 : x
  2. Step 2: Convert to fraction form
    784.84/1,083.56 = 548.68/x
  3. Step 3: Cross multiply
    784.84x = 1,083.56 × 548.68
  4. Step 4: Simplify right side
    784.84x = 594,527.70
  5. Step 5: Solve for x
    x = 594,527.70/784.84
  6. Step 6: Final answer
    x = 757.51

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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.