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Finding the Fourth Proportional to 1,513.21, 2,269.82 and 417.55

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Solution

The fourth proportional to 1,513.21, 2,269.82 and 417.55 is: 626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.21 : 2,269.82 = 417.55 : x
  2. Step 2: Convert to fraction form
    1,513.21/2,269.82 = 417.55/x
  3. Step 3: Cross multiply
    1,513.21x = 2,269.82 × 417.55
  4. Step 4: Simplify right side
    1,513.21x = 947,763.34
  5. Step 5: Solve for x
    x = 947,763.34/1,513.21
  6. Step 6: Final answer
    x = 626.33

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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.