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Finding the Fourth Proportional to 1,554.22, 2,331.71 and 458.58

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Solution

The fourth proportional to 1,554.22, 2,331.71 and 458.58 is: 687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.22 : 2,331.71 = 458.58 : x
  2. Step 2: Convert to fraction form
    1,554.22/2,331.71 = 458.58/x
  3. Step 3: Cross multiply
    1,554.22x = 2,331.71 × 458.58
  4. Step 4: Simplify right side
    1,554.22x = 1,069,276.72
  5. Step 5: Solve for x
    x = 1,069,276.72/1,554.22
  6. Step 6: Final answer
    x = 687.98

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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.