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Finding the Fourth Proportional to 1,359.46, 2,038.47 and 434.64

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Solution

The fourth proportional to 1,359.46, 2,038.47 and 434.64 is: 651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.46 : 2,038.47 = 434.64 : x
  2. Step 2: Convert to fraction form
    1,359.46/2,038.47 = 434.64/x
  3. Step 3: Cross multiply
    1,359.46x = 2,038.47 × 434.64
  4. Step 4: Simplify right side
    1,359.46x = 886,000.60
  5. Step 5: Solve for x
    x = 886,000.60/1,359.46
  6. Step 6: Final answer
    x = 651.73

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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.