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Finding the Fourth Proportional to 1,074.77, 1,600.59 and 1,038.32

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Solution

The fourth proportional to 1,074.77, 1,600.59 and 1,038.32 is: 1,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.77 : 1,600.59 = 1,038.32 : x
  2. Step 2: Convert to fraction form
    1,074.77/1,600.59 = 1,038.32/x
  3. Step 3: Cross multiply
    1,074.77x = 1,600.59 × 1,038.32
  4. Step 4: Simplify right side
    1,074.77x = 1,661,919.42
  5. Step 5: Solve for x
    x = 1,661,919.42/1,074.77
  6. Step 6: Final answer
    x = 1,546.30

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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.