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Finding the Fourth Proportional to 1,074.58, 1,610.79 and 424.66

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Solution

The fourth proportional to 1,074.58, 1,610.79 and 424.66 is: 636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.58 : 1,610.79 = 424.66 : x
  2. Step 2: Convert to fraction form
    1,074.58/1,610.79 = 424.66/x
  3. Step 3: Cross multiply
    1,074.58x = 1,610.79 × 424.66
  4. Step 4: Simplify right side
    1,074.58x = 684,038.08
  5. Step 5: Solve for x
    x = 684,038.08/1,074.58
  6. Step 6: Final answer
    x = 636.56

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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.