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Finding the Fourth Proportional to 945.31, 1,303.54 and 869.96

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Solution

The fourth proportional to 945.31, 1,303.54 and 869.96 is: 1,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.31 : 1,303.54 = 869.96 : x
  2. Step 2: Convert to fraction form
    945.31/1,303.54 = 869.96/x
  3. Step 3: Cross multiply
    945.31x = 1,303.54 × 869.96
  4. Step 4: Simplify right side
    945.31x = 1,134,029.05
  5. Step 5: Solve for x
    x = 1,134,029.05/945.31
  6. Step 6: Final answer
    x = 1,199.64

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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.