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Finding the Fourth Proportional to 1,056.02, 1,584.06 and 439.76

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Solution

The fourth proportional to 1,056.02, 1,584.06 and 439.76 is: 659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.02 : 1,584.06 = 439.76 : x
  2. Step 2: Convert to fraction form
    1,056.02/1,584.06 = 439.76/x
  3. Step 3: Cross multiply
    1,056.02x = 1,584.06 × 439.76
  4. Step 4: Simplify right side
    1,056.02x = 696,606.23
  5. Step 5: Solve for x
    x = 696,606.23/1,056.02
  6. Step 6: Final answer
    x = 659.65

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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.