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Finding the Fourth Proportional to 1,499.51, 2,249.65 and 459.47

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Solution

The fourth proportional to 1,499.51, 2,249.65 and 459.47 is: 689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.51 : 2,249.65 = 459.47 : x
  2. Step 2: Convert to fraction form
    1,499.51/2,249.65 = 459.47/x
  3. Step 3: Cross multiply
    1,499.51x = 2,249.65 × 459.47
  4. Step 4: Simplify right side
    1,499.51x = 1,033,646.69
  5. Step 5: Solve for x
    x = 1,033,646.69/1,499.51
  6. Step 6: Final answer
    x = 689.32

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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.