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Finding the Fourth Proportional to 676.59, 933.96 and 510.84

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Solution

The fourth proportional to 676.59, 933.96 and 510.84 is: 705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.59 : 933.96 = 510.84 : x
  2. Step 2: Convert to fraction form
    676.59/933.96 = 510.84/x
  3. Step 3: Cross multiply
    676.59x = 933.96 × 510.84
  4. Step 4: Simplify right side
    676.59x = 477,104.13
  5. Step 5: Solve for x
    x = 477,104.13/676.59
  6. Step 6: Final answer
    x = 705.16

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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.