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Finding the Fourth Proportional to 897.08, 1,238.01 and 635.18

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Solution

The fourth proportional to 897.08, 1,238.01 and 635.18 is: 876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.08 : 1,238.01 = 635.18 : x
  2. Step 2: Convert to fraction form
    897.08/1,238.01 = 635.18/x
  3. Step 3: Cross multiply
    897.08x = 1,238.01 × 635.18
  4. Step 4: Simplify right side
    897.08x = 786,359.19
  5. Step 5: Solve for x
    x = 786,359.19/897.08
  6. Step 6: Final answer
    x = 876.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.