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Finding the Fourth Proportional to 714.15, 984.02 and 514.76

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Solution

The fourth proportional to 714.15, 984.02 and 514.76 is: 709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.15 : 984.02 = 514.76 : x
  2. Step 2: Convert to fraction form
    714.15/984.02 = 514.76/x
  3. Step 3: Cross multiply
    714.15x = 984.02 × 514.76
  4. Step 4: Simplify right side
    714.15x = 506,526.64
  5. Step 5: Solve for x
    x = 506,526.64/714.15
  6. Step 6: Final answer
    x = 709.27

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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.