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Finding the Fourth Proportional to 1,056.40, 1,584.84 and 439.99

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Solution

The fourth proportional to 1,056.40, 1,584.84 and 439.99 is: 660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.40 : 1,584.84 = 439.99 : x
  2. Step 2: Convert to fraction form
    1,056.40/1,584.84 = 439.99/x
  3. Step 3: Cross multiply
    1,056.40x = 1,584.84 × 439.99
  4. Step 4: Simplify right side
    1,056.40x = 697,313.75
  5. Step 5: Solve for x
    x = 697,313.75/1,056.40
  6. Step 6: Final answer
    x = 660.08

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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.