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Finding the Fourth Proportional to 756.15, 1,134.57 and 365.94

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Solution

The fourth proportional to 756.15, 1,134.57 and 365.94 is: 549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.15 : 1,134.57 = 365.94 : x
  2. Step 2: Convert to fraction form
    756.15/1,134.57 = 365.94/x
  3. Step 3: Cross multiply
    756.15x = 1,134.57 × 365.94
  4. Step 4: Simplify right side
    756.15x = 415,184.55
  5. Step 5: Solve for x
    x = 415,184.55/756.15
  6. Step 6: Final answer
    x = 549.08

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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.