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Finding the Fourth Proportional to 1,178.46, 1,622.61 and 1,001.07

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Solution

The fourth proportional to 1,178.46, 1,622.61 and 1,001.07 is: 1,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.46 : 1,622.61 = 1,001.07 : x
  2. Step 2: Convert to fraction form
    1,178.46/1,622.61 = 1,001.07/x
  3. Step 3: Cross multiply
    1,178.46x = 1,622.61 × 1,001.07
  4. Step 4: Simplify right side
    1,178.46x = 1,624,346.19
  5. Step 5: Solve for x
    x = 1,624,346.19/1,178.46
  6. Step 6: Final answer
    x = 1,378.36

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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.