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Finding the Fourth Proportional to 1,173.16, 1,618.94 and 730.84

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Solution

The fourth proportional to 1,173.16, 1,618.94 and 730.84 is: 1,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.16 : 1,618.94 = 730.84 : x
  2. Step 2: Convert to fraction form
    1,173.16/1,618.94 = 730.84/x
  3. Step 3: Cross multiply
    1,173.16x = 1,618.94 × 730.84
  4. Step 4: Simplify right side
    1,173.16x = 1,183,186.11
  5. Step 5: Solve for x
    x = 1,183,186.11/1,173.16
  6. Step 6: Final answer
    x = 1,008.55

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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.