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Finding the Fourth Proportional to 894.26, 1,339.61 and 430.67

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Solution

The fourth proportional to 894.26, 1,339.61 and 430.67 is: 645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.26 : 1,339.61 = 430.67 : x
  2. Step 2: Convert to fraction form
    894.26/1,339.61 = 430.67/x
  3. Step 3: Cross multiply
    894.26x = 1,339.61 × 430.67
  4. Step 4: Simplify right side
    894.26x = 576,931.03
  5. Step 5: Solve for x
    x = 576,931.03/894.26
  6. Step 6: Final answer
    x = 645.15

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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.