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Finding the Fourth Proportional to 1,499.71, 2,250.54 and 678.03

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Solution

The fourth proportional to 1,499.71, 2,250.54 and 678.03 is: 1,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.71 : 2,250.54 = 678.03 : x
  2. Step 2: Convert to fraction form
    1,499.71/2,250.54 = 678.03/x
  3. Step 3: Cross multiply
    1,499.71x = 2,250.54 × 678.03
  4. Step 4: Simplify right side
    1,499.71x = 1,525,918.99
  5. Step 5: Solve for x
    x = 1,525,918.99/1,499.71
  6. Step 6: Final answer
    x = 1,017.48

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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.