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Finding the Fourth Proportional to 1,359.46, 2,038.29 and 493.78

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Solution

The fourth proportional to 1,359.46, 2,038.29 and 493.78 is: 740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.46 : 2,038.29 = 493.78 : x
  2. Step 2: Convert to fraction form
    1,359.46/2,038.29 = 493.78/x
  3. Step 3: Cross multiply
    1,359.46x = 2,038.29 × 493.78
  4. Step 4: Simplify right side
    1,359.46x = 1,006,466.84
  5. Step 5: Solve for x
    x = 1,006,466.84/1,359.46
  6. Step 6: Final answer
    x = 740.34

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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.