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Finding the Fourth Proportional to 1,308.72, 1,805.94 and 784.56

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Solution

The fourth proportional to 1,308.72, 1,805.94 and 784.56 is: 1,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.72 : 1,805.94 = 784.56 : x
  2. Step 2: Convert to fraction form
    1,308.72/1,805.94 = 784.56/x
  3. Step 3: Cross multiply
    1,308.72x = 1,805.94 × 784.56
  4. Step 4: Simplify right side
    1,308.72x = 1,416,868.29
  5. Step 5: Solve for x
    x = 1,416,868.29/1,308.72
  6. Step 6: Final answer
    x = 1,082.64

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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.