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Finding the Fourth Proportional to 759.54, 1,047.75 and 538.12

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Solution

The fourth proportional to 759.54, 1,047.75 and 538.12 is: 742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.54 : 1,047.75 = 538.12 : x
  2. Step 2: Convert to fraction form
    759.54/1,047.75 = 538.12/x
  3. Step 3: Cross multiply
    759.54x = 1,047.75 × 538.12
  4. Step 4: Simplify right side
    759.54x = 563,809.99
  5. Step 5: Solve for x
    x = 563,809.99/759.54
  6. Step 6: Final answer
    x = 742.30

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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.