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Finding the Fourth Proportional to 1,056.98, 1,584.90 and 326.36

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Solution

The fourth proportional to 1,056.98, 1,584.90 and 326.36 is: 489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.98 : 1,584.90 = 326.36 : x
  2. Step 2: Convert to fraction form
    1,056.98/1,584.90 = 326.36/x
  3. Step 3: Cross multiply
    1,056.98x = 1,584.90 × 326.36
  4. Step 4: Simplify right side
    1,056.98x = 517,240.04
  5. Step 5: Solve for x
    x = 517,240.04/1,056.98
  6. Step 6: Final answer
    x = 489.36

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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.