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Finding the Fourth Proportional to 1,445.80, 1,995.08 and 848.23

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Solution

The fourth proportional to 1,445.80, 1,995.08 and 848.23 is: 1,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.80 : 1,995.08 = 848.23 : x
  2. Step 2: Convert to fraction form
    1,445.80/1,995.08 = 848.23/x
  3. Step 3: Cross multiply
    1,445.80x = 1,995.08 × 848.23
  4. Step 4: Simplify right side
    1,445.80x = 1,692,291.32
  5. Step 5: Solve for x
    x = 1,692,291.32/1,445.80
  6. Step 6: Final answer
    x = 1,170.49

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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.