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Finding the Fourth Proportional to 954.14, 1,429.20 and 607.30

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Solution

The fourth proportional to 954.14, 1,429.20 and 607.30 is: 909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.14 : 1,429.20 = 607.30 : x
  2. Step 2: Convert to fraction form
    954.14/1,429.20 = 607.30/x
  3. Step 3: Cross multiply
    954.14x = 1,429.20 × 607.30
  4. Step 4: Simplify right side
    954.14x = 867,949.59
  5. Step 5: Solve for x
    x = 867,949.59/954.14
  6. Step 6: Final answer
    x = 909.67

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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.