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Finding the Fourth Proportional to 1,017.02, 1,525.76 and 367.75

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Solution

The fourth proportional to 1,017.02, 1,525.76 and 367.75 is: 551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.02 : 1,525.76 = 367.75 : x
  2. Step 2: Convert to fraction form
    1,017.02/1,525.76 = 367.75/x
  3. Step 3: Cross multiply
    1,017.02x = 1,525.76 × 367.75
  4. Step 4: Simplify right side
    1,017.02x = 561,099.69
  5. Step 5: Solve for x
    x = 561,099.69/1,017.02
  6. Step 6: Final answer
    x = 551.71

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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.