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Finding the Fourth Proportional to 1,510.05, 2,265.09 and 414.51

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Solution

The fourth proportional to 1,510.05, 2,265.09 and 414.51 is: 621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.05 : 2,265.09 = 414.51 : x
  2. Step 2: Convert to fraction form
    1,510.05/2,265.09 = 414.51/x
  3. Step 3: Cross multiply
    1,510.05x = 2,265.09 × 414.51
  4. Step 4: Simplify right side
    1,510.05x = 938,902.46
  5. Step 5: Solve for x
    x = 938,902.46/1,510.05
  6. Step 6: Final answer
    x = 621.77

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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.