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Finding the Fourth Proportional to 1,116.36, 1,673.38 and 750.28

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Solution

The fourth proportional to 1,116.36, 1,673.38 and 750.28 is: 1,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.36 : 1,673.38 = 750.28 : x
  2. Step 2: Convert to fraction form
    1,116.36/1,673.38 = 750.28/x
  3. Step 3: Cross multiply
    1,116.36x = 1,673.38 × 750.28
  4. Step 4: Simplify right side
    1,116.36x = 1,255,503.55
  5. Step 5: Solve for x
    x = 1,255,503.55/1,116.36
  6. Step 6: Final answer
    x = 1,124.64

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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.