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Finding the Fourth Proportional to 1,330.18, 1,994.34 and 589.39

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Solution

The fourth proportional to 1,330.18, 1,994.34 and 589.39 is: 883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.18 : 1,994.34 = 589.39 : x
  2. Step 2: Convert to fraction form
    1,330.18/1,994.34 = 589.39/x
  3. Step 3: Cross multiply
    1,330.18x = 1,994.34 × 589.39
  4. Step 4: Simplify right side
    1,330.18x = 1,175,444.14
  5. Step 5: Solve for x
    x = 1,175,444.14/1,330.18
  6. Step 6: Final answer
    x = 883.67

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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.