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Finding the Fourth Proportional to 1,313.01, 1,969.38 and 339.08

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Solution

The fourth proportional to 1,313.01, 1,969.38 and 339.08 is: 508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.01 : 1,969.38 = 339.08 : x
  2. Step 2: Convert to fraction form
    1,313.01/1,969.38 = 339.08/x
  3. Step 3: Cross multiply
    1,313.01x = 1,969.38 × 339.08
  4. Step 4: Simplify right side
    1,313.01x = 667,767.52
  5. Step 5: Solve for x
    x = 667,767.52/1,313.01
  6. Step 6: Final answer
    x = 508.58

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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.