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Finding the Fourth Proportional to 1,554.25, 2,330.91 and 458.59

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Solution

The fourth proportional to 1,554.25, 2,330.91 and 458.59 is: 687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.25 : 2,330.91 = 458.59 : x
  2. Step 2: Convert to fraction form
    1,554.25/2,330.91 = 458.59/x
  3. Step 3: Cross multiply
    1,554.25x = 2,330.91 × 458.59
  4. Step 4: Simplify right side
    1,554.25x = 1,068,932.02
  5. Step 5: Solve for x
    x = 1,068,932.02/1,554.25
  6. Step 6: Final answer
    x = 687.75

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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.