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Finding the Fourth Proportional to 1,017.10, 1,525.85 and 367.79

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Solution

The fourth proportional to 1,017.10, 1,525.85 and 367.79 is: 551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.10 : 1,525.85 = 367.79 : x
  2. Step 2: Convert to fraction form
    1,017.10/1,525.85 = 367.79/x
  3. Step 3: Cross multiply
    1,017.10x = 1,525.85 × 367.79
  4. Step 4: Simplify right side
    1,017.10x = 561,185.66
  5. Step 5: Solve for x
    x = 561,185.66/1,017.10
  6. Step 6: Final answer
    x = 551.75

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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.