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Finding the Fourth Proportional to 883.05, 1,322.15 and 448.08

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Solution

The fourth proportional to 883.05, 1,322.15 and 448.08 is: 670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.05 : 1,322.15 = 448.08 : x
  2. Step 2: Convert to fraction form
    883.05/1,322.15 = 448.08/x
  3. Step 3: Cross multiply
    883.05x = 1,322.15 × 448.08
  4. Step 4: Simplify right side
    883.05x = 592,426.73
  5. Step 5: Solve for x
    x = 592,426.73/883.05
  6. Step 6: Final answer
    x = 670.89

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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.