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Finding the Fourth Proportional to 675.42, 1,015.37 and 554.58

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Solution

The fourth proportional to 675.42, 1,015.37 and 554.58 is: 833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 1,015.37 = 554.58 : x
  2. Step 2: Convert to fraction form
    675.42/1,015.37 = 554.58/x
  3. Step 3: Cross multiply
    675.42x = 1,015.37 × 554.58
  4. Step 4: Simplify right side
    675.42x = 563,103.89
  5. Step 5: Solve for x
    x = 563,103.89/675.42
  6. Step 6: Final answer
    x = 833.71

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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.