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Finding the Fourth Proportional to 1,011.42, 1,516.95 and 281.07

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Solution

The fourth proportional to 1,011.42, 1,516.95 and 281.07 is: 421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.42 : 1,516.95 = 281.07 : x
  2. Step 2: Convert to fraction form
    1,011.42/1,516.95 = 281.07/x
  3. Step 3: Cross multiply
    1,011.42x = 1,516.95 × 281.07
  4. Step 4: Simplify right side
    1,011.42x = 426,369.14
  5. Step 5: Solve for x
    x = 426,369.14/1,011.42
  6. Step 6: Final answer
    x = 421.55

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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.