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Finding the Fourth Proportional to 1,289.82, 1,781.70 and 1,013.58

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Solution

The fourth proportional to 1,289.82, 1,781.70 and 1,013.58 is: 1,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.82 : 1,781.70 = 1,013.58 : x
  2. Step 2: Convert to fraction form
    1,289.82/1,781.70 = 1,013.58/x
  3. Step 3: Cross multiply
    1,289.82x = 1,781.70 × 1,013.58
  4. Step 4: Simplify right side
    1,289.82x = 1,805,895.49
  5. Step 5: Solve for x
    x = 1,805,895.49/1,289.82
  6. Step 6: Final answer
    x = 1,400.11

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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.