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Finding the Fourth Proportional to 1,230.84, 1,846.29 and 365.16

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Solution

The fourth proportional to 1,230.84, 1,846.29 and 365.16 is: 547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.84 : 1,846.29 = 365.16 : x
  2. Step 2: Convert to fraction form
    1,230.84/1,846.29 = 365.16/x
  3. Step 3: Cross multiply
    1,230.84x = 1,846.29 × 365.16
  4. Step 4: Simplify right side
    1,230.84x = 674,191.26
  5. Step 5: Solve for x
    x = 674,191.26/1,230.84
  6. Step 6: Final answer
    x = 547.75

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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.