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Finding the Fourth Proportional to 1,004.44, 1,386.09 and 584.81

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Solution

The fourth proportional to 1,004.44, 1,386.09 and 584.81 is: 807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.44 : 1,386.09 = 584.81 : x
  2. Step 2: Convert to fraction form
    1,004.44/1,386.09 = 584.81/x
  3. Step 3: Cross multiply
    1,004.44x = 1,386.09 × 584.81
  4. Step 4: Simplify right side
    1,004.44x = 810,599.29
  5. Step 5: Solve for x
    x = 810,599.29/1,004.44
  6. Step 6: Final answer
    x = 807.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.