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Finding the Fourth Proportional to 897.26, 1,346.28 and 485.91

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Solution

The fourth proportional to 897.26, 1,346.28 and 485.91 is: 729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.26 : 1,346.28 = 485.91 : x
  2. Step 2: Convert to fraction form
    897.26/1,346.28 = 485.91/x
  3. Step 3: Cross multiply
    897.26x = 1,346.28 × 485.91
  4. Step 4: Simplify right side
    897.26x = 654,169.09
  5. Step 5: Solve for x
    x = 654,169.09/897.26
  6. Step 6: Final answer
    x = 729.08

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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.