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Finding the Fourth Proportional to 1,499.84, 2,249.73 and 473.84

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Solution

The fourth proportional to 1,499.84, 2,249.73 and 473.84 is: 710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.84 : 2,249.73 = 473.84 : x
  2. Step 2: Convert to fraction form
    1,499.84/2,249.73 = 473.84/x
  3. Step 3: Cross multiply
    1,499.84x = 2,249.73 × 473.84
  4. Step 4: Simplify right side
    1,499.84x = 1,066,000.81
  5. Step 5: Solve for x
    x = 1,066,000.81/1,499.84
  6. Step 6: Final answer
    x = 710.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.