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Finding the Fourth Proportional to 841.43, 1,259.75 and 566.98

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Solution

The fourth proportional to 841.43, 1,259.75 and 566.98 is: 848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.43 : 1,259.75 = 566.98 : x
  2. Step 2: Convert to fraction form
    841.43/1,259.75 = 566.98/x
  3. Step 3: Cross multiply
    841.43x = 1,259.75 × 566.98
  4. Step 4: Simplify right side
    841.43x = 714,251.32
  5. Step 5: Solve for x
    x = 714,251.32/841.43
  6. Step 6: Final answer
    x = 848.85

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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.