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Finding the Fourth Proportional to 714.18, 984.66 and 514.92

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Solution

The fourth proportional to 714.18, 984.66 and 514.92 is: 709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.18 : 984.66 = 514.92 : x
  2. Step 2: Convert to fraction form
    714.18/984.66 = 514.92/x
  3. Step 3: Cross multiply
    714.18x = 984.66 × 514.92
  4. Step 4: Simplify right side
    714.18x = 507,021.13
  5. Step 5: Solve for x
    x = 507,021.13/714.18
  6. Step 6: Final answer
    x = 709.93

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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.