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Finding the Fourth Proportional to 1,147.59, 1,722.06 and 417.22

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Solution

The fourth proportional to 1,147.59, 1,722.06 and 417.22 is: 626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.59 : 1,722.06 = 417.22 : x
  2. Step 2: Convert to fraction form
    1,147.59/1,722.06 = 417.22/x
  3. Step 3: Cross multiply
    1,147.59x = 1,722.06 × 417.22
  4. Step 4: Simplify right side
    1,147.59x = 718,467.18
  5. Step 5: Solve for x
    x = 718,467.18/1,147.59
  6. Step 6: Final answer
    x = 626.07

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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.