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Finding the Fourth Proportional to 841.46, 1,259.76 and 566.60

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Solution

The fourth proportional to 841.46, 1,259.76 and 566.60 is: 848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.46 : 1,259.76 = 566.60 : x
  2. Step 2: Convert to fraction form
    841.46/1,259.76 = 566.60/x
  3. Step 3: Cross multiply
    841.46x = 1,259.76 × 566.60
  4. Step 4: Simplify right side
    841.46x = 713,780.02
  5. Step 5: Solve for x
    x = 713,780.02/841.46
  6. Step 6: Final answer
    x = 848.26

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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.