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Finding the Fourth Proportional to 709.03, 1,060.80 and 401.02

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Solution

The fourth proportional to 709.03, 1,060.80 and 401.02 is: 599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.03 : 1,060.80 = 401.02 : x
  2. Step 2: Convert to fraction form
    709.03/1,060.80 = 401.02/x
  3. Step 3: Cross multiply
    709.03x = 1,060.80 × 401.02
  4. Step 4: Simplify right side
    709.03x = 425,402.02
  5. Step 5: Solve for x
    x = 425,402.02/709.03
  6. Step 6: Final answer
    x = 599.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.