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Finding the Fourth Proportional to 1,114.03, 1,670.57 and 334.14

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Solution

The fourth proportional to 1,114.03, 1,670.57 and 334.14 is: 501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.03 : 1,670.57 = 334.14 : x
  2. Step 2: Convert to fraction form
    1,114.03/1,670.57 = 334.14/x
  3. Step 3: Cross multiply
    1,114.03x = 1,670.57 × 334.14
  4. Step 4: Simplify right side
    1,114.03x = 558,209.27
  5. Step 5: Solve for x
    x = 558,209.27/1,114.03
  6. Step 6: Final answer
    x = 501.07

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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.