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Finding the Fourth Proportional to 1,056.31, 1,584.59 and 440.43

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Solution

The fourth proportional to 1,056.31, 1,584.59 and 440.43 is: 660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.31 : 1,584.59 = 440.43 : x
  2. Step 2: Convert to fraction form
    1,056.31/1,584.59 = 440.43/x
  3. Step 3: Cross multiply
    1,056.31x = 1,584.59 × 440.43
  4. Step 4: Simplify right side
    1,056.31x = 697,902.07
  5. Step 5: Solve for x
    x = 697,902.07/1,056.31
  6. Step 6: Final answer
    x = 660.70

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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.