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Finding the Fourth Proportional to 1,056.98, 1,582.83 and 640.29

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Solution

The fourth proportional to 1,056.98, 1,582.83 and 640.29 is: 958.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.98 : 1,582.83 = 640.29 : x
  2. Step 2: Convert to fraction form
    1,056.98/1,582.83 = 640.29/x
  3. Step 3: Cross multiply
    1,056.98x = 1,582.83 × 640.29
  4. Step 4: Simplify right side
    1,056.98x = 1,013,470.22
  5. Step 5: Solve for x
    x = 1,013,470.22/1,056.98
  6. Step 6: Final answer
    x = 958.84

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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.