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Finding the Fourth Proportional to 897.38, 1,344.80 and 485.63

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Solution

The fourth proportional to 897.38, 1,344.80 and 485.63 is: 727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.38 : 1,344.80 = 485.63 : x
  2. Step 2: Convert to fraction form
    897.38/1,344.80 = 485.63/x
  3. Step 3: Cross multiply
    897.38x = 1,344.80 × 485.63
  4. Step 4: Simplify right side
    897.38x = 653,066.07
  5. Step 5: Solve for x
    x = 653,066.07/897.38
  6. Step 6: Final answer
    x = 727.75

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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.