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Finding the Fourth Proportional to 1,015.88, 1,401.20 and 601.64

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Solution

The fourth proportional to 1,015.88, 1,401.20 and 601.64 is: 829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.88 : 1,401.20 = 601.64 : x
  2. Step 2: Convert to fraction form
    1,015.88/1,401.20 = 601.64/x
  3. Step 3: Cross multiply
    1,015.88x = 1,401.20 × 601.64
  4. Step 4: Simplify right side
    1,015.88x = 843,017.97
  5. Step 5: Solve for x
    x = 843,017.97/1,015.88
  6. Step 6: Final answer
    x = 829.84

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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.