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Finding the Fourth Proportional to 1,513.22, 2,269.58 and 417.34

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Solution

The fourth proportional to 1,513.22, 2,269.58 and 417.34 is: 625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.22 : 2,269.58 = 417.34 : x
  2. Step 2: Convert to fraction form
    1,513.22/2,269.58 = 417.34/x
  3. Step 3: Cross multiply
    1,513.22x = 2,269.58 × 417.34
  4. Step 4: Simplify right side
    1,513.22x = 947,181.89
  5. Step 5: Solve for x
    x = 947,181.89/1,513.22
  6. Step 6: Final answer
    x = 625.94

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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.