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Finding the Fourth Proportional to 1,006.49, 1,509.01 and 493.85

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Solution

The fourth proportional to 1,006.49, 1,509.01 and 493.85 is: 740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.49 : 1,509.01 = 493.85 : x
  2. Step 2: Convert to fraction form
    1,006.49/1,509.01 = 493.85/x
  3. Step 3: Cross multiply
    1,006.49x = 1,509.01 × 493.85
  4. Step 4: Simplify right side
    1,006.49x = 745,224.59
  5. Step 5: Solve for x
    x = 745,224.59/1,006.49
  6. Step 6: Final answer
    x = 740.42

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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.