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Finding the Fourth Proportional to 1,056.84, 1,584.90 and 439.80

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Solution

The fourth proportional to 1,056.84, 1,584.90 and 439.80 is: 659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.84 : 1,584.90 = 439.80 : x
  2. Step 2: Convert to fraction form
    1,056.84/1,584.90 = 439.80/x
  3. Step 3: Cross multiply
    1,056.84x = 1,584.90 × 439.80
  4. Step 4: Simplify right side
    1,056.84x = 697,039.02
  5. Step 5: Solve for x
    x = 697,039.02/1,056.84
  6. Step 6: Final answer
    x = 659.55

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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.