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Finding the Fourth Proportional to 1,329.56, 1,993.80 and 463.60

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Solution

The fourth proportional to 1,329.56, 1,993.80 and 463.60 is: 695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.56 : 1,993.80 = 463.60 : x
  2. Step 2: Convert to fraction form
    1,329.56/1,993.80 = 463.60/x
  3. Step 3: Cross multiply
    1,329.56x = 1,993.80 × 463.60
  4. Step 4: Simplify right side
    1,329.56x = 924,325.68
  5. Step 5: Solve for x
    x = 924,325.68/1,329.56
  6. Step 6: Final answer
    x = 695.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.