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Finding the Fourth Proportional to 675.90, 1,013.55 and 402.06

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Solution

The fourth proportional to 675.90, 1,013.55 and 402.06 is: 602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.90 : 1,013.55 = 402.06 : x
  2. Step 2: Convert to fraction form
    675.90/1,013.55 = 402.06/x
  3. Step 3: Cross multiply
    675.90x = 1,013.55 × 402.06
  4. Step 4: Simplify right side
    675.90x = 407,507.91
  5. Step 5: Solve for x
    x = 407,507.91/675.90
  6. Step 6: Final answer
    x = 602.91

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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.