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Finding the Fourth Proportional to 1,173.01, 1,618.73 and 675.64

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Solution

The fourth proportional to 1,173.01, 1,618.73 and 675.64 is: 932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.01 : 1,618.73 = 675.64 : x
  2. Step 2: Convert to fraction form
    1,173.01/1,618.73 = 675.64/x
  3. Step 3: Cross multiply
    1,173.01x = 1,618.73 × 675.64
  4. Step 4: Simplify right side
    1,173.01x = 1,093,678.74
  5. Step 5: Solve for x
    x = 1,093,678.74/1,173.01
  6. Step 6: Final answer
    x = 932.37

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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.