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Finding the Fourth Proportional to 1,013.36, 1,518.97 and 574.06

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Solution

The fourth proportional to 1,013.36, 1,518.97 and 574.06 is: 860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.36 : 1,518.97 = 574.06 : x
  2. Step 2: Convert to fraction form
    1,013.36/1,518.97 = 574.06/x
  3. Step 3: Cross multiply
    1,013.36x = 1,518.97 × 574.06
  4. Step 4: Simplify right side
    1,013.36x = 871,970.89
  5. Step 5: Solve for x
    x = 871,970.89/1,013.36
  6. Step 6: Final answer
    x = 860.48

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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.