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Finding the Fourth Proportional to 1,130.40, 1,698.20 and 797.62

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Solution

The fourth proportional to 1,130.40, 1,698.20 and 797.62 is: 1,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.40 : 1,698.20 = 797.62 : x
  2. Step 2: Convert to fraction form
    1,130.40/1,698.20 = 797.62/x
  3. Step 3: Cross multiply
    1,130.40x = 1,698.20 × 797.62
  4. Step 4: Simplify right side
    1,130.40x = 1,354,509.81
  5. Step 5: Solve for x
    x = 1,354,509.81/1,130.40
  6. Step 6: Final answer
    x = 1,198.26

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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.