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Finding the Fourth Proportional to 1,309.90, 1,964.04 and 558.52

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Solution

The fourth proportional to 1,309.90, 1,964.04 and 558.52 is: 837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.90 : 1,964.04 = 558.52 : x
  2. Step 2: Convert to fraction form
    1,309.90/1,964.04 = 558.52/x
  3. Step 3: Cross multiply
    1,309.90x = 1,964.04 × 558.52
  4. Step 4: Simplify right side
    1,309.90x = 1,096,955.62
  5. Step 5: Solve for x
    x = 1,096,955.62/1,309.90
  6. Step 6: Final answer
    x = 837.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.