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Finding the Fourth Proportional to 766.17, 1,055.80 and 544.74

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Solution

The fourth proportional to 766.17, 1,055.80 and 544.74 is: 750.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.17 : 1,055.80 = 544.74 : x
  2. Step 2: Convert to fraction form
    766.17/1,055.80 = 544.74/x
  3. Step 3: Cross multiply
    766.17x = 1,055.80 × 544.74
  4. Step 4: Simplify right side
    766.17x = 575,136.49
  5. Step 5: Solve for x
    x = 575,136.49/766.17
  6. Step 6: Final answer
    x = 750.66

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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.