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Finding the Fourth Proportional to 893.48, 1,339.14 and 460.40

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Solution

The fourth proportional to 893.48, 1,339.14 and 460.40 is: 690.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.48 : 1,339.14 = 460.40 : x
  2. Step 2: Convert to fraction form
    893.48/1,339.14 = 460.40/x
  3. Step 3: Cross multiply
    893.48x = 1,339.14 × 460.40
  4. Step 4: Simplify right side
    893.48x = 616,540.06
  5. Step 5: Solve for x
    x = 616,540.06/893.48
  6. Step 6: Final answer
    x = 690.04

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