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Finding the Fourth Proportional to 1,269.46, 1,904.65 and 529.18

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Solution

The fourth proportional to 1,269.46, 1,904.65 and 529.18 is: 793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.46 : 1,904.65 = 529.18 : x
  2. Step 2: Convert to fraction form
    1,269.46/1,904.65 = 529.18/x
  3. Step 3: Cross multiply
    1,269.46x = 1,904.65 × 529.18
  4. Step 4: Simplify right side
    1,269.46x = 1,007,902.69
  5. Step 5: Solve for x
    x = 1,007,902.69/1,269.46
  6. Step 6: Final answer
    x = 793.96

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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.