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Finding the Fourth Proportional to 1,056.97, 1,585.68 and 440.81

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Solution

The fourth proportional to 1,056.97, 1,585.68 and 440.81 is: 661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.97 : 1,585.68 = 440.81 : x
  2. Step 2: Convert to fraction form
    1,056.97/1,585.68 = 440.81/x
  3. Step 3: Cross multiply
    1,056.97x = 1,585.68 × 440.81
  4. Step 4: Simplify right side
    1,056.97x = 698,983.60
  5. Step 5: Solve for x
    x = 698,983.60/1,056.97
  6. Step 6: Final answer
    x = 661.31

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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.