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Finding the Fourth Proportional to 1,005.88, 1,506.90 and 484.34

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Solution

The fourth proportional to 1,005.88, 1,506.90 and 484.34 is: 725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.88 : 1,506.90 = 484.34 : x
  2. Step 2: Convert to fraction form
    1,005.88/1,506.90 = 484.34/x
  3. Step 3: Cross multiply
    1,005.88x = 1,506.90 × 484.34
  4. Step 4: Simplify right side
    1,005.88x = 729,841.99
  5. Step 5: Solve for x
    x = 729,841.99/1,005.88
  6. Step 6: Final answer
    x = 725.58

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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.