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Finding the Fourth Proportional to 1,059.24, 1,461.60 and 617.34

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Solution

The fourth proportional to 1,059.24, 1,461.60 and 617.34 is: 851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.24 : 1,461.60 = 617.34 : x
  2. Step 2: Convert to fraction form
    1,059.24/1,461.60 = 617.34/x
  3. Step 3: Cross multiply
    1,059.24x = 1,461.60 × 617.34
  4. Step 4: Simplify right side
    1,059.24x = 902,304.14
  5. Step 5: Solve for x
    x = 902,304.14/1,059.24
  6. Step 6: Final answer
    x = 851.84

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Double scale
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1.5x scale

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.