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Finding the Fourth Proportional to 841.34, 1,259.08 and 666.47

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Solution

The fourth proportional to 841.34, 1,259.08 and 666.47 is: 997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.34 : 1,259.08 = 666.47 : x
  2. Step 2: Convert to fraction form
    841.34/1,259.08 = 666.47/x
  3. Step 3: Cross multiply
    841.34x = 1,259.08 × 666.47
  4. Step 4: Simplify right side
    841.34x = 839,139.05
  5. Step 5: Solve for x
    x = 839,139.05/841.34
  6. Step 6: Final answer
    x = 997.38

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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.