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Finding the Fourth Proportional to 1,183, 1,774.74 and 499

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Solution

The fourth proportional to 1,183, 1,774.74 and 499 is: 748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183 : 1,774.74 = 499 : x
  2. Step 2: Convert to fraction form
    1,183/1,774.74 = 499/x
  3. Step 3: Cross multiply
    1,183x = 1,774.74 × 499
  4. Step 4: Simplify right side
    1,183x = 885,595.26
  5. Step 5: Solve for x
    x = 885,595.26/1,183
  6. Step 6: Final answer
    x = 748.60

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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.