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Finding the Fourth Proportional to 1,008.34, 1,512.72 and 359.06

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Solution

The fourth proportional to 1,008.34, 1,512.72 and 359.06 is: 538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.34 : 1,512.72 = 359.06 : x
  2. Step 2: Convert to fraction form
    1,008.34/1,512.72 = 359.06/x
  3. Step 3: Cross multiply
    1,008.34x = 1,512.72 × 359.06
  4. Step 4: Simplify right side
    1,008.34x = 543,157.24
  5. Step 5: Solve for x
    x = 543,157.24/1,008.34
  6. Step 6: Final answer
    x = 538.66

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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.