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Finding the Fourth Proportional to 1,062.09, 1,596.78 and 975.66

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Solution

The fourth proportional to 1,062.09, 1,596.78 and 975.66 is: 1,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.09 : 1,596.78 = 975.66 : x
  2. Step 2: Convert to fraction form
    1,062.09/1,596.78 = 975.66/x
  3. Step 3: Cross multiply
    1,062.09x = 1,596.78 × 975.66
  4. Step 4: Simplify right side
    1,062.09x = 1,557,914.37
  5. Step 5: Solve for x
    x = 1,557,914.37/1,062.09
  6. Step 6: Final answer
    x = 1,466.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.