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Finding the Fourth Proportional to 1,021.07, 1,531.22 and 404.87

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Solution

The fourth proportional to 1,021.07, 1,531.22 and 404.87 is: 607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.07 : 1,531.22 = 404.87 : x
  2. Step 2: Convert to fraction form
    1,021.07/1,531.22 = 404.87/x
  3. Step 3: Cross multiply
    1,021.07x = 1,531.22 × 404.87
  4. Step 4: Simplify right side
    1,021.07x = 619,935.36
  5. Step 5: Solve for x
    x = 619,935.36/1,021.07
  6. Step 6: Final answer
    x = 607.14

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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.