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Finding the Fourth Proportional to 893.15, 1,340.13 and 460.61

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Solution

The fourth proportional to 893.15, 1,340.13 and 460.61 is: 691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.15 : 1,340.13 = 460.61 : x
  2. Step 2: Convert to fraction form
    893.15/1,340.13 = 460.61/x
  3. Step 3: Cross multiply
    893.15x = 1,340.13 × 460.61
  4. Step 4: Simplify right side
    893.15x = 617,277.28
  5. Step 5: Solve for x
    x = 617,277.28/893.15
  6. Step 6: Final answer
    x = 691.12

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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.