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Finding the Fourth Proportional to 897.63, 1,236.98 and 635.19

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Solution

The fourth proportional to 897.63, 1,236.98 and 635.19 is: 875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.63 : 1,236.98 = 635.19 : x
  2. Step 2: Convert to fraction form
    897.63/1,236.98 = 635.19/x
  3. Step 3: Cross multiply
    897.63x = 1,236.98 × 635.19
  4. Step 4: Simplify right side
    897.63x = 785,714.15
  5. Step 5: Solve for x
    x = 785,714.15/897.63
  6. Step 6: Final answer
    x = 875.32

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Why These Related Problems?

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