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Finding the Fourth Proportional to 1,130.84, 1,695.82 and 481.40

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Solution

The fourth proportional to 1,130.84, 1,695.82 and 481.40 is: 721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.84 : 1,695.82 = 481.40 : x
  2. Step 2: Convert to fraction form
    1,130.84/1,695.82 = 481.40/x
  3. Step 3: Cross multiply
    1,130.84x = 1,695.82 × 481.40
  4. Step 4: Simplify right side
    1,130.84x = 816,367.75
  5. Step 5: Solve for x
    x = 816,367.75/1,130.84
  6. Step 6: Final answer
    x = 721.91

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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.