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Finding the Fourth Proportional to 1,429.03, 2,144.75 and 563.95

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Solution

The fourth proportional to 1,429.03, 2,144.75 and 563.95 is: 846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.03 : 2,144.75 = 563.95 : x
  2. Step 2: Convert to fraction form
    1,429.03/2,144.75 = 563.95/x
  3. Step 3: Cross multiply
    1,429.03x = 2,144.75 × 563.95
  4. Step 4: Simplify right side
    1,429.03x = 1,209,518.22
  5. Step 5: Solve for x
    x = 1,209,518.22/1,429.03
  6. Step 6: Final answer
    x = 846.39

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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.