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Finding the Fourth Proportional to 1,516.04, 2,274.01 and 476.09

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Solution

The fourth proportional to 1,516.04, 2,274.01 and 476.09 is: 714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.04 : 2,274.01 = 476.09 : x
  2. Step 2: Convert to fraction form
    1,516.04/2,274.01 = 476.09/x
  3. Step 3: Cross multiply
    1,516.04x = 2,274.01 × 476.09
  4. Step 4: Simplify right side
    1,516.04x = 1,082,623.05
  5. Step 5: Solve for x
    x = 1,082,623.05/1,516.04
  6. Step 6: Final answer
    x = 714.11

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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.