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Finding the Fourth Proportional to 1,366.34, 1,885.71 and 842.38

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Solution

The fourth proportional to 1,366.34, 1,885.71 and 842.38 is: 1,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.34 : 1,885.71 = 842.38 : x
  2. Step 2: Convert to fraction form
    1,366.34/1,885.71 = 842.38/x
  3. Step 3: Cross multiply
    1,366.34x = 1,885.71 × 842.38
  4. Step 4: Simplify right side
    1,366.34x = 1,588,484.39
  5. Step 5: Solve for x
    x = 1,588,484.39/1,366.34
  6. Step 6: Final answer
    x = 1,162.58

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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.