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Finding the Fourth Proportional to 1,015.14, 1,401.03 and 573.15

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Solution

The fourth proportional to 1,015.14, 1,401.03 and 573.15 is: 791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.14 : 1,401.03 = 573.15 : x
  2. Step 2: Convert to fraction form
    1,015.14/1,401.03 = 573.15/x
  3. Step 3: Cross multiply
    1,015.14x = 1,401.03 × 573.15
  4. Step 4: Simplify right side
    1,015.14x = 803,000.34
  5. Step 5: Solve for x
    x = 803,000.34/1,015.14
  6. Step 6: Final answer
    x = 791.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.