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Finding the Fourth Proportional to 1,152.96, 1,730.56 and 1,090.53

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Solution

The fourth proportional to 1,152.96, 1,730.56 and 1,090.53 is: 1,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.96 : 1,730.56 = 1,090.53 : x
  2. Step 2: Convert to fraction form
    1,152.96/1,730.56 = 1,090.53/x
  3. Step 3: Cross multiply
    1,152.96x = 1,730.56 × 1,090.53
  4. Step 4: Simplify right side
    1,152.96x = 1,887,227.60
  5. Step 5: Solve for x
    x = 1,887,227.60/1,152.96
  6. Step 6: Final answer
    x = 1,636.85

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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.