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Finding the Fourth Proportional to 893.46, 1,340.59 and 482.12

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Solution

The fourth proportional to 893.46, 1,340.59 and 482.12 is: 723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.46 : 1,340.59 = 482.12 : x
  2. Step 2: Convert to fraction form
    893.46/1,340.59 = 482.12/x
  3. Step 3: Cross multiply
    893.46x = 1,340.59 × 482.12
  4. Step 4: Simplify right side
    893.46x = 646,325.25
  5. Step 5: Solve for x
    x = 646,325.25/893.46
  6. Step 6: Final answer
    x = 723.40

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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.