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Finding the Fourth Proportional to 1,433.76, 2,150.64 and 460.32

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Solution

The fourth proportional to 1,433.76, 2,150.64 and 460.32 is: 690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.76 : 2,150.64 = 460.32 : x
  2. Step 2: Convert to fraction form
    1,433.76/2,150.64 = 460.32/x
  3. Step 3: Cross multiply
    1,433.76x = 2,150.64 × 460.32
  4. Step 4: Simplify right side
    1,433.76x = 989,982.60
  5. Step 5: Solve for x
    x = 989,982.60/1,433.76
  6. Step 6: Final answer
    x = 690.48

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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.