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Finding the Fourth Proportional to 1,006.64, 1,389.46 and 587.09

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Solution

The fourth proportional to 1,006.64, 1,389.46 and 587.09 is: 810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.64 : 1,389.46 = 587.09 : x
  2. Step 2: Convert to fraction form
    1,006.64/1,389.46 = 587.09/x
  3. Step 3: Cross multiply
    1,006.64x = 1,389.46 × 587.09
  4. Step 4: Simplify right side
    1,006.64x = 815,738.07
  5. Step 5: Solve for x
    x = 815,738.07/1,006.64
  6. Step 6: Final answer
    x = 810.36

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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.