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Finding the Fourth Proportional to 1,090.71, 1,636.08 and 1,029.20

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Solution

The fourth proportional to 1,090.71, 1,636.08 and 1,029.20 is: 1,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.71 : 1,636.08 = 1,029.20 : x
  2. Step 2: Convert to fraction form
    1,090.71/1,636.08 = 1,029.20/x
  3. Step 3: Cross multiply
    1,090.71x = 1,636.08 × 1,029.20
  4. Step 4: Simplify right side
    1,090.71x = 1,683,848.39
  5. Step 5: Solve for x
    x = 1,683,848.39/1,090.71
  6. Step 6: Final answer
    x = 1,543.81

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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.