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Finding the Fourth Proportional to 897.93, 1,236.47 and 832.59

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Solution

The fourth proportional to 897.93, 1,236.47 and 832.59 is: 1,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.93 : 1,236.47 = 832.59 : x
  2. Step 2: Convert to fraction form
    897.93/1,236.47 = 832.59/x
  3. Step 3: Cross multiply
    897.93x = 1,236.47 × 832.59
  4. Step 4: Simplify right side
    897.93x = 1,029,468.39
  5. Step 5: Solve for x
    x = 1,029,468.39/897.93
  6. Step 6: Final answer
    x = 1,146.49

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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.