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Finding the Fourth Proportional to 1,359.64, 2,038.46 and 434.67

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Solution

The fourth proportional to 1,359.64, 2,038.46 and 434.67 is: 651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.64 : 2,038.46 = 434.67 : x
  2. Step 2: Convert to fraction form
    1,359.64/2,038.46 = 434.67/x
  3. Step 3: Cross multiply
    1,359.64x = 2,038.46 × 434.67
  4. Step 4: Simplify right side
    1,359.64x = 886,048.30
  5. Step 5: Solve for x
    x = 886,048.30/1,359.64
  6. Step 6: Final answer
    x = 651.68

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Why These Related Problems?

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