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Finding the Fourth Proportional to 1,130.61, 1,696.11 and 481.35

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Solution

The fourth proportional to 1,130.61, 1,696.11 and 481.35 is: 722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.61 : 1,696.11 = 481.35 : x
  2. Step 2: Convert to fraction form
    1,130.61/1,696.11 = 481.35/x
  3. Step 3: Cross multiply
    1,130.61x = 1,696.11 × 481.35
  4. Step 4: Simplify right side
    1,130.61x = 816,422.55
  5. Step 5: Solve for x
    x = 816,422.55/1,130.61
  6. Step 6: Final answer
    x = 722.11

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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.