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Finding the Fourth Proportional to 1,164.05, 1,608.59 and 883.79

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Solution

The fourth proportional to 1,164.05, 1,608.59 and 883.79 is: 1,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.05 : 1,608.59 = 883.79 : x
  2. Step 2: Convert to fraction form
    1,164.05/1,608.59 = 883.79/x
  3. Step 3: Cross multiply
    1,164.05x = 1,608.59 × 883.79
  4. Step 4: Simplify right side
    1,164.05x = 1,421,643.29
  5. Step 5: Solve for x
    x = 1,421,643.29/1,164.05
  6. Step 6: Final answer
    x = 1,221.30

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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.