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Finding the Fourth Proportional to 1,486.93, 2,230.43 and 499.76

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Solution

The fourth proportional to 1,486.93, 2,230.43 and 499.76 is: 749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.93 : 2,230.43 = 499.76 : x
  2. Step 2: Convert to fraction form
    1,486.93/2,230.43 = 499.76/x
  3. Step 3: Cross multiply
    1,486.93x = 2,230.43 × 499.76
  4. Step 4: Simplify right side
    1,486.93x = 1,114,670.94
  5. Step 5: Solve for x
    x = 1,114,670.94/1,486.93
  6. Step 6: Final answer
    x = 749.65

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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.