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Finding the Fourth Proportional to 676.68, 1,014.40 and 471.34

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Solution

The fourth proportional to 676.68, 1,014.40 and 471.34 is: 706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.68 : 1,014.40 = 471.34 : x
  2. Step 2: Convert to fraction form
    676.68/1,014.40 = 471.34/x
  3. Step 3: Cross multiply
    676.68x = 1,014.40 × 471.34
  4. Step 4: Simplify right side
    676.68x = 478,127.30
  5. Step 5: Solve for x
    x = 478,127.30/676.68
  6. Step 6: Final answer
    x = 706.58

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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.