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Finding the Fourth Proportional to 1,513.37, 2,269.78 and 417.50

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Solution

The fourth proportional to 1,513.37, 2,269.78 and 417.50 is: 626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.37 : 2,269.78 = 417.50 : x
  2. Step 2: Convert to fraction form
    1,513.37/2,269.78 = 417.50/x
  3. Step 3: Cross multiply
    1,513.37x = 2,269.78 × 417.50
  4. Step 4: Simplify right side
    1,513.37x = 947,633.15
  5. Step 5: Solve for x
    x = 947,633.15/1,513.37
  6. Step 6: Final answer
    x = 626.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.