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Finding the Fourth Proportional to 984.58, 1,360.46 and 704.32

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Solution

The fourth proportional to 984.58, 1,360.46 and 704.32 is: 973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.58 : 1,360.46 = 704.32 : x
  2. Step 2: Convert to fraction form
    984.58/1,360.46 = 704.32/x
  3. Step 3: Cross multiply
    984.58x = 1,360.46 × 704.32
  4. Step 4: Simplify right side
    984.58x = 958,199.19
  5. Step 5: Solve for x
    x = 958,199.19/984.58
  6. Step 6: Final answer
    x = 973.21

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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.