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Finding the Fourth Proportional to 1,510.51, 2,265.77 and 415.04

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Solution

The fourth proportional to 1,510.51, 2,265.77 and 415.04 is: 622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.51 : 2,265.77 = 415.04 : x
  2. Step 2: Convert to fraction form
    1,510.51/2,265.77 = 415.04/x
  3. Step 3: Cross multiply
    1,510.51x = 2,265.77 × 415.04
  4. Step 4: Simplify right side
    1,510.51x = 940,371.78
  5. Step 5: Solve for x
    x = 940,371.78/1,510.51
  6. Step 6: Final answer
    x = 622.55

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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.