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Finding the Fourth Proportional to 1,467.79, 2,202.40 and 590.25

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Solution

The fourth proportional to 1,467.79, 2,202.40 and 590.25 is: 885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.79 : 2,202.40 = 590.25 : x
  2. Step 2: Convert to fraction form
    1,467.79/2,202.40 = 590.25/x
  3. Step 3: Cross multiply
    1,467.79x = 2,202.40 × 590.25
  4. Step 4: Simplify right side
    1,467.79x = 1,299,975.60
  5. Step 5: Solve for x
    x = 1,299,975.60/1,467.79
  6. Step 6: Final answer
    x = 885.67

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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.