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Finding the Fourth Proportional to 1,132, 1,698.52 and 670.69

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Solution

The fourth proportional to 1,132, 1,698.52 and 670.69 is: 1,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132 : 1,698.52 = 670.69 : x
  2. Step 2: Convert to fraction form
    1,132/1,698.52 = 670.69/x
  3. Step 3: Cross multiply
    1,132x = 1,698.52 × 670.69
  4. Step 4: Simplify right side
    1,132x = 1,139,177.03
  5. Step 5: Solve for x
    x = 1,139,177.03/1,132
  6. Step 6: Final answer
    x = 1,006.34

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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.