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Finding the Fourth Proportional to 1,513.04, 2,269.59 and 417.44

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Solution

The fourth proportional to 1,513.04, 2,269.59 and 417.44 is: 626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.04 : 2,269.59 = 417.44 : x
  2. Step 2: Convert to fraction form
    1,513.04/2,269.59 = 417.44/x
  3. Step 3: Cross multiply
    1,513.04x = 2,269.59 × 417.44
  4. Step 4: Simplify right side
    1,513.04x = 947,408.99
  5. Step 5: Solve for x
    x = 947,408.99/1,513.04
  6. Step 6: Final answer
    x = 626.16

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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.