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Finding the Fourth Proportional to 1,059.51, 1,461.87 and 617.15

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Solution

The fourth proportional to 1,059.51, 1,461.87 and 617.15 is: 851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.51 : 1,461.87 = 617.15 : x
  2. Step 2: Convert to fraction form
    1,059.51/1,461.87 = 617.15/x
  3. Step 3: Cross multiply
    1,059.51x = 1,461.87 × 617.15
  4. Step 4: Simplify right side
    1,059.51x = 902,185.76
  5. Step 5: Solve for x
    x = 902,185.76/1,059.51
  6. Step 6: Final answer
    x = 851.51

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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.