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Finding the Fourth Proportional to 1,130.28, 1,695.96 and 668.58

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Solution

The fourth proportional to 1,130.28, 1,695.96 and 668.58 is: 1,003.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.28 : 1,695.96 = 668.58 : x
  2. Step 2: Convert to fraction form
    1,130.28/1,695.96 = 668.58/x
  3. Step 3: Cross multiply
    1,130.28x = 1,695.96 × 668.58
  4. Step 4: Simplify right side
    1,130.28x = 1,133,884.94
  5. Step 5: Solve for x
    x = 1,133,884.94/1,130.28
  6. Step 6: Final answer
    x = 1,003.19

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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.