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Finding the Fourth Proportional to 894.61, 1,342.14 and 483.75

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Solution

The fourth proportional to 894.61, 1,342.14 and 483.75 is: 725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.61 : 1,342.14 = 483.75 : x
  2. Step 2: Convert to fraction form
    894.61/1,342.14 = 483.75/x
  3. Step 3: Cross multiply
    894.61x = 1,342.14 × 483.75
  4. Step 4: Simplify right side
    894.61x = 649,258.41
  5. Step 5: Solve for x
    x = 649,258.41/894.61
  6. Step 6: Final answer
    x = 725.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.