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Finding the Fourth Proportional to 1,006.70, 1,509.71 and 486.41

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Solution

The fourth proportional to 1,006.70, 1,509.71 and 486.41 is: 729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.70 : 1,509.71 = 486.41 : x
  2. Step 2: Convert to fraction form
    1,006.70/1,509.71 = 486.41/x
  3. Step 3: Cross multiply
    1,006.70x = 1,509.71 × 486.41
  4. Step 4: Simplify right side
    1,006.70x = 734,328.06
  5. Step 5: Solve for x
    x = 734,328.06/1,006.70
  6. Step 6: Final answer
    x = 729.44

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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.