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Finding the Fourth Proportional to 675.16, 1,012.26 and 345.64

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Solution

The fourth proportional to 675.16, 1,012.26 and 345.64 is: 518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.16 : 1,012.26 = 345.64 : x
  2. Step 2: Convert to fraction form
    675.16/1,012.26 = 345.64/x
  3. Step 3: Cross multiply
    675.16x = 1,012.26 × 345.64
  4. Step 4: Simplify right side
    675.16x = 349,877.55
  5. Step 5: Solve for x
    x = 349,877.55/675.16
  6. Step 6: Final answer
    x = 518.21

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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.