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Finding the Fourth Proportional to 1,218.06, 1,825.26 and 730.53

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Solution

The fourth proportional to 1,218.06, 1,825.26 and 730.53 is: 1,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.06 : 1,825.26 = 730.53 : x
  2. Step 2: Convert to fraction form
    1,218.06/1,825.26 = 730.53/x
  3. Step 3: Cross multiply
    1,218.06x = 1,825.26 × 730.53
  4. Step 4: Simplify right side
    1,218.06x = 1,333,407.19
  5. Step 5: Solve for x
    x = 1,333,407.19/1,218.06
  6. Step 6: Final answer
    x = 1,094.70

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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.