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Finding the Fourth Proportional to 1,006.01, 1,511.32 and 595.43

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Solution

The fourth proportional to 1,006.01, 1,511.32 and 595.43 is: 894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.01 : 1,511.32 = 595.43 : x
  2. Step 2: Convert to fraction form
    1,006.01/1,511.32 = 595.43/x
  3. Step 3: Cross multiply
    1,006.01x = 1,511.32 × 595.43
  4. Step 4: Simplify right side
    1,006.01x = 899,885.27
  5. Step 5: Solve for x
    x = 899,885.27/1,006.01
  6. Step 6: Final answer
    x = 894.51

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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.