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Finding the Fourth Proportional to 893.77, 1,230.69 and 841.81

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Solution

The fourth proportional to 893.77, 1,230.69 and 841.81 is: 1,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.77 : 1,230.69 = 841.81 : x
  2. Step 2: Convert to fraction form
    893.77/1,230.69 = 841.81/x
  3. Step 3: Cross multiply
    893.77x = 1,230.69 × 841.81
  4. Step 4: Simplify right side
    893.77x = 1,036,007.15
  5. Step 5: Solve for x
    x = 1,036,007.15/893.77
  6. Step 6: Final answer
    x = 1,159.14

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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.