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Finding the Fourth Proportional to 1,170.54, 1,754.72 and 440.58

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Solution

The fourth proportional to 1,170.54, 1,754.72 and 440.58 is: 660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.54 : 1,754.72 = 440.58 : x
  2. Step 2: Convert to fraction form
    1,170.54/1,754.72 = 440.58/x
  3. Step 3: Cross multiply
    1,170.54x = 1,754.72 × 440.58
  4. Step 4: Simplify right side
    1,170.54x = 773,094.54
  5. Step 5: Solve for x
    x = 773,094.54/1,170.54
  6. Step 6: Final answer
    x = 660.46

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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.