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Finding the Fourth Proportional to 675.04, 1,010.04 and 400.12

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Solution

The fourth proportional to 675.04, 1,010.04 and 400.12 is: 598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.04 : 1,010.04 = 400.12 : x
  2. Step 2: Convert to fraction form
    675.04/1,010.04 = 400.12/x
  3. Step 3: Cross multiply
    675.04x = 1,010.04 × 400.12
  4. Step 4: Simplify right side
    675.04x = 404,137.20
  5. Step 5: Solve for x
    x = 404,137.20/675.04
  6. Step 6: Final answer
    x = 598.69

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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.