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Finding the Fourth Proportional to 675.64, 1,013.46 and 401.96

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Solution

The fourth proportional to 675.64, 1,013.46 and 401.96 is: 602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.64 : 1,013.46 = 401.96 : x
  2. Step 2: Convert to fraction form
    675.64/1,013.46 = 401.96/x
  3. Step 3: Cross multiply
    675.64x = 1,013.46 × 401.96
  4. Step 4: Simplify right side
    675.64x = 407,373.67
  5. Step 5: Solve for x
    x = 407,373.67/675.64
  6. Step 6: Final answer
    x = 602.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.