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Finding the Fourth Proportional to 1,445.17, 1,994.66 and 847.93

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Solution

The fourth proportional to 1,445.17, 1,994.66 and 847.93 is: 1,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.17 : 1,994.66 = 847.93 : x
  2. Step 2: Convert to fraction form
    1,445.17/1,994.66 = 847.93/x
  3. Step 3: Cross multiply
    1,445.17x = 1,994.66 × 847.93
  4. Step 4: Simplify right side
    1,445.17x = 1,691,332.05
  5. Step 5: Solve for x
    x = 1,691,332.05/1,445.17
  6. Step 6: Final answer
    x = 1,170.33

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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.