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Finding the Fourth Proportional to 1,160.07, 1,739.82 and 466.89

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Solution

The fourth proportional to 1,160.07, 1,739.82 and 466.89 is: 700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.07 : 1,739.82 = 466.89 : x
  2. Step 2: Convert to fraction form
    1,160.07/1,739.82 = 466.89/x
  3. Step 3: Cross multiply
    1,160.07x = 1,739.82 × 466.89
  4. Step 4: Simplify right side
    1,160.07x = 812,304.56
  5. Step 5: Solve for x
    x = 812,304.56/1,160.07
  6. Step 6: Final answer
    x = 700.22

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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.