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Finding the Fourth Proportional to 676.29, 1,014.93 and 503.36

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Solution

The fourth proportional to 676.29, 1,014.93 and 503.36 is: 755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.29 : 1,014.93 = 503.36 : x
  2. Step 2: Convert to fraction form
    676.29/1,014.93 = 503.36/x
  3. Step 3: Cross multiply
    676.29x = 1,014.93 × 503.36
  4. Step 4: Simplify right side
    676.29x = 510,870.09
  5. Step 5: Solve for x
    x = 510,870.09/676.29
  6. Step 6: Final answer
    x = 755.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.