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Finding the Fourth Proportional to 714.48, 984.78 and 515.04

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Solution

The fourth proportional to 714.48, 984.78 and 515.04 is: 709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.48 : 984.78 = 515.04 : x
  2. Step 2: Convert to fraction form
    714.48/984.78 = 515.04/x
  3. Step 3: Cross multiply
    714.48x = 984.78 × 515.04
  4. Step 4: Simplify right side
    714.48x = 507,201.09
  5. Step 5: Solve for x
    x = 507,201.09/714.48
  6. Step 6: Final answer
    x = 709.89

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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.