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Finding the Fourth Proportional to 1,090.60, 1,627.57 and 845.80

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Solution

The fourth proportional to 1,090.60, 1,627.57 and 845.80 is: 1,262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.60 : 1,627.57 = 845.80 : x
  2. Step 2: Convert to fraction form
    1,090.60/1,627.57 = 845.80/x
  3. Step 3: Cross multiply
    1,090.60x = 1,627.57 × 845.80
  4. Step 4: Simplify right side
    1,090.60x = 1,376,598.71
  5. Step 5: Solve for x
    x = 1,376,598.71/1,090.60
  6. Step 6: Final answer
    x = 1,262.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.