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Finding the Fourth Proportional to 1,374.02, 2,061.03 and 334.02

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Solution

The fourth proportional to 1,374.02, 2,061.03 and 334.02 is: 501.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.02 : 2,061.03 = 334.02 : x
  2. Step 2: Convert to fraction form
    1,374.02/2,061.03 = 334.02/x
  3. Step 3: Cross multiply
    1,374.02x = 2,061.03 × 334.02
  4. Step 4: Simplify right side
    1,374.02x = 688,420.75
  5. Step 5: Solve for x
    x = 688,420.75/1,374.02
  6. Step 6: Final answer
    x = 501.03

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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.