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Finding the Fourth Proportional to 675.55, 1,013.33 and 401.84

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Solution

The fourth proportional to 675.55, 1,013.33 and 401.84 is: 602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.55 : 1,013.33 = 401.84 : x
  2. Step 2: Convert to fraction form
    675.55/1,013.33 = 401.84/x
  3. Step 3: Cross multiply
    675.55x = 1,013.33 × 401.84
  4. Step 4: Simplify right side
    675.55x = 407,196.53
  5. Step 5: Solve for x
    x = 407,196.53/675.55
  6. Step 6: Final answer
    x = 602.76

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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.