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Finding the Fourth Proportional to 1,499.47, 2,249.92 and 678.00

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Solution

The fourth proportional to 1,499.47, 2,249.92 and 678.00 is: 1,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.47 : 2,249.92 = 678.00 : x
  2. Step 2: Convert to fraction form
    1,499.47/2,249.92 = 678.00/x
  3. Step 3: Cross multiply
    1,499.47x = 2,249.92 × 678.00
  4. Step 4: Simplify right side
    1,499.47x = 1,525,434.51
  5. Step 5: Solve for x
    x = 1,525,434.51/1,499.47
  6. Step 6: Final answer
    x = 1,017.32

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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.