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Finding the Fourth Proportional to 980.13, 1,352.63 and 538.03

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Solution

The fourth proportional to 980.13, 1,352.63 and 538.03 is: 742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.13 : 1,352.63 = 538.03 : x
  2. Step 2: Convert to fraction form
    980.13/1,352.63 = 538.03/x
  3. Step 3: Cross multiply
    980.13x = 1,352.63 × 538.03
  4. Step 4: Simplify right side
    980.13x = 727,746.07
  5. Step 5: Solve for x
    x = 727,746.07/980.13
  6. Step 6: Final answer
    x = 742.50

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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.