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Finding the Fourth Proportional to 834.47, 1,151.65 and 480.41

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Solution

The fourth proportional to 834.47, 1,151.65 and 480.41 is: 663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.47 : 1,151.65 = 480.41 : x
  2. Step 2: Convert to fraction form
    834.47/1,151.65 = 480.41/x
  3. Step 3: Cross multiply
    834.47x = 1,151.65 × 480.41
  4. Step 4: Simplify right side
    834.47x = 553,259.09
  5. Step 5: Solve for x
    x = 553,259.09/834.47
  6. Step 6: Final answer
    x = 663.01

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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.