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Finding the Fourth Proportional to 1,162.42, 1,602.90 and 984.70

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Solution

The fourth proportional to 1,162.42, 1,602.90 and 984.70 is: 1,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.42 : 1,602.90 = 984.70 : x
  2. Step 2: Convert to fraction form
    1,162.42/1,602.90 = 984.70/x
  3. Step 3: Cross multiply
    1,162.42x = 1,602.90 × 984.70
  4. Step 4: Simplify right side
    1,162.42x = 1,578,375.63
  5. Step 5: Solve for x
    x = 1,578,375.63/1,162.42
  6. Step 6: Final answer
    x = 1,357.84

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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.