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Finding the Fourth Proportional to 1,328.77, 1,994.42 and 598.69

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Solution

The fourth proportional to 1,328.77, 1,994.42 and 598.69 is: 898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.77 : 1,994.42 = 598.69 : x
  2. Step 2: Convert to fraction form
    1,328.77/1,994.42 = 598.69/x
  3. Step 3: Cross multiply
    1,328.77x = 1,994.42 × 598.69
  4. Step 4: Simplify right side
    1,328.77x = 1,194,039.31
  5. Step 5: Solve for x
    x = 1,194,039.31/1,328.77
  6. Step 6: Final answer
    x = 898.60

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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.