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Finding the Fourth Proportional to 1,756.04, 2,633.27 and 585.72

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Solution

The fourth proportional to 1,756.04, 2,633.27 and 585.72 is: 878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.04 : 2,633.27 = 585.72 : x
  2. Step 2: Convert to fraction form
    1,756.04/2,633.27 = 585.72/x
  3. Step 3: Cross multiply
    1,756.04x = 2,633.27 × 585.72
  4. Step 4: Simplify right side
    1,756.04x = 1,542,355.98
  5. Step 5: Solve for x
    x = 1,542,355.98/1,756.04
  6. Step 6: Final answer
    x = 878.32

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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.