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Finding the Fourth Proportional to 1,005.42, 1,497.26 and 943.14

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Solution

The fourth proportional to 1,005.42, 1,497.26 and 943.14 is: 1,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.42 : 1,497.26 = 943.14 : x
  2. Step 2: Convert to fraction form
    1,005.42/1,497.26 = 943.14/x
  3. Step 3: Cross multiply
    1,005.42x = 1,497.26 × 943.14
  4. Step 4: Simplify right side
    1,005.42x = 1,412,121.08
  5. Step 5: Solve for x
    x = 1,412,121.08/1,005.42
  6. Step 6: Final answer
    x = 1,404.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.