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Finding the Fourth Proportional to 675.39, 1,014.30 and 521.70

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Solution

The fourth proportional to 675.39, 1,014.30 and 521.70 is: 783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.39 : 1,014.30 = 521.70 : x
  2. Step 2: Convert to fraction form
    675.39/1,014.30 = 521.70/x
  3. Step 3: Cross multiply
    675.39x = 1,014.30 × 521.70
  4. Step 4: Simplify right side
    675.39x = 529,160.31
  5. Step 5: Solve for x
    x = 529,160.31/675.39
  6. Step 6: Final answer
    x = 783.49

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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.