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Finding the Fourth Proportional to 1,132.00, 1,698.57 and 766.02

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Solution

The fourth proportional to 1,132.00, 1,698.57 and 766.02 is: 1,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.00 : 1,698.57 = 766.02 : x
  2. Step 2: Convert to fraction form
    1,132.00/1,698.57 = 766.02/x
  3. Step 3: Cross multiply
    1,132.00x = 1,698.57 × 766.02
  4. Step 4: Simplify right side
    1,132.00x = 1,301,137.80
  5. Step 5: Solve for x
    x = 1,301,137.80/1,132.00
  6. Step 6: Final answer
    x = 1,149.41

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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.