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Finding the Fourth Proportional to 1,538.21, 2,307.58 and 498.48

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Solution

The fourth proportional to 1,538.21, 2,307.58 and 498.48 is: 747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.21 : 2,307.58 = 498.48 : x
  2. Step 2: Convert to fraction form
    1,538.21/2,307.58 = 498.48/x
  3. Step 3: Cross multiply
    1,538.21x = 2,307.58 × 498.48
  4. Step 4: Simplify right side
    1,538.21x = 1,150,272.58
  5. Step 5: Solve for x
    x = 1,150,272.58/1,538.21
  6. Step 6: Final answer
    x = 747.80

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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.