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Finding the Fourth Proportional to 980.30, 1,352.58 and 587.26

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Solution

The fourth proportional to 980.30, 1,352.58 and 587.26 is: 810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.30 : 1,352.58 = 587.26 : x
  2. Step 2: Convert to fraction form
    980.30/1,352.58 = 587.26/x
  3. Step 3: Cross multiply
    980.30x = 1,352.58 × 587.26
  4. Step 4: Simplify right side
    980.30x = 794,316.13
  5. Step 5: Solve for x
    x = 794,316.13/980.30
  6. Step 6: Final answer
    x = 810.28

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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.