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Finding the Fourth Proportional to 897.62, 1,345.46 and 512.18

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Solution

The fourth proportional to 897.62, 1,345.46 and 512.18 is: 767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.62 : 1,345.46 = 512.18 : x
  2. Step 2: Convert to fraction form
    897.62/1,345.46 = 512.18/x
  3. Step 3: Cross multiply
    897.62x = 1,345.46 × 512.18
  4. Step 4: Simplify right side
    897.62x = 689,112.26
  5. Step 5: Solve for x
    x = 689,112.26/897.62
  6. Step 6: Final answer
    x = 767.71

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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.