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Finding the Fourth Proportional to 841.73, 1,262.58 and 497.46

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Solution

The fourth proportional to 841.73, 1,262.58 and 497.46 is: 746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.73 : 1,262.58 = 497.46 : x
  2. Step 2: Convert to fraction form
    841.73/1,262.58 = 497.46/x
  3. Step 3: Cross multiply
    841.73x = 1,262.58 × 497.46
  4. Step 4: Simplify right side
    841.73x = 628,083.05
  5. Step 5: Solve for x
    x = 628,083.05/841.73
  6. Step 6: Final answer
    x = 746.18

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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.