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Finding the Fourth Proportional to 953.44, 1,430.46 and 607.06

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Solution

The fourth proportional to 953.44, 1,430.46 and 607.06 is: 910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.44 : 1,430.46 = 607.06 : x
  2. Step 2: Convert to fraction form
    953.44/1,430.46 = 607.06/x
  3. Step 3: Cross multiply
    953.44x = 1,430.46 × 607.06
  4. Step 4: Simplify right side
    953.44x = 868,375.05
  5. Step 5: Solve for x
    x = 868,375.05/953.44
  6. Step 6: Final answer
    x = 910.78

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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.