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Finding the Fourth Proportional to 897.82, 1,348.62 and 873.52

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Solution

The fourth proportional to 897.82, 1,348.62 and 873.52 is: 1,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.82 : 1,348.62 = 873.52 : x
  2. Step 2: Convert to fraction form
    897.82/1,348.62 = 873.52/x
  3. Step 3: Cross multiply
    897.82x = 1,348.62 × 873.52
  4. Step 4: Simplify right side
    897.82x = 1,178,046.54
  5. Step 5: Solve for x
    x = 1,178,046.54/897.82
  6. Step 6: Final answer
    x = 1,312.12

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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.