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Finding the Fourth Proportional to 1,516.42, 2,274.66 and 476.40

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Solution

The fourth proportional to 1,516.42, 2,274.66 and 476.40 is: 714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.42 : 2,274.66 = 476.40 : x
  2. Step 2: Convert to fraction form
    1,516.42/2,274.66 = 476.40/x
  3. Step 3: Cross multiply
    1,516.42x = 2,274.66 × 476.40
  4. Step 4: Simplify right side
    1,516.42x = 1,083,648.02
  5. Step 5: Solve for x
    x = 1,083,648.02/1,516.42
  6. Step 6: Final answer
    x = 714.61

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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.