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Finding the Fourth Proportional to 1,445.60, 1,994.94 and 848.45

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Solution

The fourth proportional to 1,445.60, 1,994.94 and 848.45 is: 1,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.60 : 1,994.94 = 848.45 : x
  2. Step 2: Convert to fraction form
    1,445.60/1,994.94 = 848.45/x
  3. Step 3: Cross multiply
    1,445.60x = 1,994.94 × 848.45
  4. Step 4: Simplify right side
    1,445.60x = 1,692,606.84
  5. Step 5: Solve for x
    x = 1,692,606.84/1,445.60
  6. Step 6: Final answer
    x = 1,170.87

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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.