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Finding the Fourth Proportional to 1,128.83, 1,693.45 and 967.64

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Solution

The fourth proportional to 1,128.83, 1,693.45 and 967.64 is: 1,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.83 : 1,693.45 = 967.64 : x
  2. Step 2: Convert to fraction form
    1,128.83/1,693.45 = 967.64/x
  3. Step 3: Cross multiply
    1,128.83x = 1,693.45 × 967.64
  4. Step 4: Simplify right side
    1,128.83x = 1,638,649.96
  5. Step 5: Solve for x
    x = 1,638,649.96/1,128.83
  6. Step 6: Final answer
    x = 1,451.64

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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.