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Finding the Fourth Proportional to 1,089.06, 1,501.80 and 969.05

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Solution

The fourth proportional to 1,089.06, 1,501.80 and 969.05 is: 1,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.06 : 1,501.80 = 969.05 : x
  2. Step 2: Convert to fraction form
    1,089.06/1,501.80 = 969.05/x
  3. Step 3: Cross multiply
    1,089.06x = 1,501.80 × 969.05
  4. Step 4: Simplify right side
    1,089.06x = 1,455,311.78
  5. Step 5: Solve for x
    x = 1,455,311.78/1,089.06
  6. Step 6: Final answer
    x = 1,336.30

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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.