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Finding the Fourth Proportional to 762.35, 1,142.64 and 437.94

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Solution

The fourth proportional to 762.35, 1,142.64 and 437.94 is: 656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.35 : 1,142.64 = 437.94 : x
  2. Step 2: Convert to fraction form
    762.35/1,142.64 = 437.94/x
  3. Step 3: Cross multiply
    762.35x = 1,142.64 × 437.94
  4. Step 4: Simplify right side
    762.35x = 500,407.76
  5. Step 5: Solve for x
    x = 500,407.76/762.35
  6. Step 6: Final answer
    x = 656.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.