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Finding the Fourth Proportional to 1,513.33, 2,270.04 and 417.69

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Solution

The fourth proportional to 1,513.33, 2,270.04 and 417.69 is: 626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.33 : 2,270.04 = 417.69 : x
  2. Step 2: Convert to fraction form
    1,513.33/2,270.04 = 417.69/x
  3. Step 3: Cross multiply
    1,513.33x = 2,270.04 × 417.69
  4. Step 4: Simplify right side
    1,513.33x = 948,173.01
  5. Step 5: Solve for x
    x = 948,173.01/1,513.33
  6. Step 6: Final answer
    x = 626.55

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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.