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Finding the Fourth Proportional to 873.41, 1,205.37 and 480.47

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Solution

The fourth proportional to 873.41, 1,205.37 and 480.47 is: 663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.41 : 1,205.37 = 480.47 : x
  2. Step 2: Convert to fraction form
    873.41/1,205.37 = 480.47/x
  3. Step 3: Cross multiply
    873.41x = 1,205.37 × 480.47
  4. Step 4: Simplify right side
    873.41x = 579,138.10
  5. Step 5: Solve for x
    x = 579,138.10/873.41
  6. Step 6: Final answer
    x = 663.08

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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.