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Finding the Fourth Proportional to 846.60, 1,275.78 and 726.42

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Solution

The fourth proportional to 846.60, 1,275.78 and 726.42 is: 1,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.60 : 1,275.78 = 726.42 : x
  2. Step 2: Convert to fraction form
    846.60/1,275.78 = 726.42/x
  3. Step 3: Cross multiply
    846.60x = 1,275.78 × 726.42
  4. Step 4: Simplify right side
    846.60x = 926,752.11
  5. Step 5: Solve for x
    x = 926,752.11/846.60
  6. Step 6: Final answer
    x = 1,094.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.