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Finding the Fourth Proportional to 1,059.32, 1,461.21 and 617.15

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Solution

The fourth proportional to 1,059.32, 1,461.21 and 617.15 is: 851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.32 : 1,461.21 = 617.15 : x
  2. Step 2: Convert to fraction form
    1,059.32/1,461.21 = 617.15/x
  3. Step 3: Cross multiply
    1,059.32x = 1,461.21 × 617.15
  4. Step 4: Simplify right side
    1,059.32x = 901,778.45
  5. Step 5: Solve for x
    x = 901,778.45/1,059.32
  6. Step 6: Final answer
    x = 851.28

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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.