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Finding the Fourth Proportional to 1,017.23, 1,525.89 and 367.79

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Solution

The fourth proportional to 1,017.23, 1,525.89 and 367.79 is: 551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.23 : 1,525.89 = 367.79 : x
  2. Step 2: Convert to fraction form
    1,017.23/1,525.89 = 367.79/x
  3. Step 3: Cross multiply
    1,017.23x = 1,525.89 × 367.79
  4. Step 4: Simplify right side
    1,017.23x = 561,207.08
  5. Step 5: Solve for x
    x = 561,207.08/1,017.23
  6. Step 6: Final answer
    x = 551.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.