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Finding the Fourth Proportional to 1,049.99, 1,575.59 and 993.69

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Solution

The fourth proportional to 1,049.99, 1,575.59 and 993.69 is: 1,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.99 : 1,575.59 = 993.69 : x
  2. Step 2: Convert to fraction form
    1,049.99/1,575.59 = 993.69/x
  3. Step 3: Cross multiply
    1,049.99x = 1,575.59 × 993.69
  4. Step 4: Simplify right side
    1,049.99x = 1,565,643.06
  5. Step 5: Solve for x
    x = 1,565,643.06/1,049.99
  6. Step 6: Final answer
    x = 1,491.11

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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.