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Finding the Fourth Proportional to 759.03, 1,047.44 and 538.35

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Solution

The fourth proportional to 759.03, 1,047.44 and 538.35 is: 742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.03 : 1,047.44 = 538.35 : x
  2. Step 2: Convert to fraction form
    759.03/1,047.44 = 538.35/x
  3. Step 3: Cross multiply
    759.03x = 1,047.44 × 538.35
  4. Step 4: Simplify right side
    759.03x = 563,886.63
  5. Step 5: Solve for x
    x = 563,886.63/759.03
  6. Step 6: Final answer
    x = 742.90

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