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Finding the Fourth Proportional to 1,100.42, 1,642.10 and 983.58

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Solution

The fourth proportional to 1,100.42, 1,642.10 and 983.58 is: 1,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.42 : 1,642.10 = 983.58 : x
  2. Step 2: Convert to fraction form
    1,100.42/1,642.10 = 983.58/x
  3. Step 3: Cross multiply
    1,100.42x = 1,642.10 × 983.58
  4. Step 4: Simplify right side
    1,100.42x = 1,615,132.41
  5. Step 5: Solve for x
    x = 1,615,132.41/1,100.42
  6. Step 6: Final answer
    x = 1,467.74

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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.