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Finding the Fourth Proportional to 1,140.67, 1,710.44 and 428.06

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Solution

The fourth proportional to 1,140.67, 1,710.44 and 428.06 is: 641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.67 : 1,710.44 = 428.06 : x
  2. Step 2: Convert to fraction form
    1,140.67/1,710.44 = 428.06/x
  3. Step 3: Cross multiply
    1,140.67x = 1,710.44 × 428.06
  4. Step 4: Simplify right side
    1,140.67x = 732,173.08
  5. Step 5: Solve for x
    x = 732,173.08/1,140.67
  6. Step 6: Final answer
    x = 641.88

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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.