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Finding the Fourth Proportional to 1,074.99, 1,603.86 and 958.05

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Solution

The fourth proportional to 1,074.99, 1,603.86 and 958.05 is: 1,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.99 : 1,603.86 = 958.05 : x
  2. Step 2: Convert to fraction form
    1,074.99/1,603.86 = 958.05/x
  3. Step 3: Cross multiply
    1,074.99x = 1,603.86 × 958.05
  4. Step 4: Simplify right side
    1,074.99x = 1,536,578.07
  5. Step 5: Solve for x
    x = 1,536,578.07/1,074.99
  6. Step 6: Final answer
    x = 1,429.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.