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Finding the Fourth Proportional to 845.42, 1,166.84 and 705.32

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Solution

The fourth proportional to 845.42, 1,166.84 and 705.32 is: 973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.42 : 1,166.84 = 705.32 : x
  2. Step 2: Convert to fraction form
    845.42/1,166.84 = 705.32/x
  3. Step 3: Cross multiply
    845.42x = 1,166.84 × 705.32
  4. Step 4: Simplify right side
    845.42x = 822,995.59
  5. Step 5: Solve for x
    x = 822,995.59/845.42
  6. Step 6: Final answer
    x = 973.48

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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.