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Finding the Fourth Proportional to 713.50, 984.64 and 437.50

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Solution

The fourth proportional to 713.50, 984.64 and 437.50 is: 603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.50 : 984.64 = 437.50 : x
  2. Step 2: Convert to fraction form
    713.50/984.64 = 437.50/x
  3. Step 3: Cross multiply
    713.50x = 984.64 × 437.50
  4. Step 4: Simplify right side
    713.50x = 430,780
  5. Step 5: Solve for x
    x = 430,780/713.50
  6. Step 6: Final answer
    x = 603.76

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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.