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Finding the Fourth Proportional to 1,059.60, 1,462.32 and 617.43

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Solution

The fourth proportional to 1,059.60, 1,462.32 and 617.43 is: 852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.60 : 1,462.32 = 617.43 : x
  2. Step 2: Convert to fraction form
    1,059.60/1,462.32 = 617.43/x
  3. Step 3: Cross multiply
    1,059.60x = 1,462.32 × 617.43
  4. Step 4: Simplify right side
    1,059.60x = 902,880.24
  5. Step 5: Solve for x
    x = 902,880.24/1,059.60
  6. Step 6: Final answer
    x = 852.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.