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Finding the Fourth Proportional to 1,308.52, 1,805.64 and 719.08

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Solution

The fourth proportional to 1,308.52, 1,805.64 and 719.08 is: 992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.52 : 1,805.64 = 719.08 : x
  2. Step 2: Convert to fraction form
    1,308.52/1,805.64 = 719.08/x
  3. Step 3: Cross multiply
    1,308.52x = 1,805.64 × 719.08
  4. Step 4: Simplify right side
    1,308.52x = 1,298,399.61
  5. Step 5: Solve for x
    x = 1,298,399.61/1,308.52
  6. Step 6: Final answer
    x = 992.27

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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.