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Finding the Fourth Proportional to 1,147.65, 1,584.35 and 848.63

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Solution

The fourth proportional to 1,147.65, 1,584.35 and 848.63 is: 1,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.65 : 1,584.35 = 848.63 : x
  2. Step 2: Convert to fraction form
    1,147.65/1,584.35 = 848.63/x
  3. Step 3: Cross multiply
    1,147.65x = 1,584.35 × 848.63
  4. Step 4: Simplify right side
    1,147.65x = 1,344,514.78
  5. Step 5: Solve for x
    x = 1,344,514.78/1,147.65
  6. Step 6: Final answer
    x = 1,171.54

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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.