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Finding the Fourth Proportional to 676.85, 933.86 and 510.66

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Solution

The fourth proportional to 676.85, 933.86 and 510.66 is: 704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.85 : 933.86 = 510.66 : x
  2. Step 2: Convert to fraction form
    676.85/933.86 = 510.66/x
  3. Step 3: Cross multiply
    676.85x = 933.86 × 510.66
  4. Step 4: Simplify right side
    676.85x = 476,886.22
  5. Step 5: Solve for x
    x = 476,886.22/676.85
  6. Step 6: Final answer
    x = 704.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.