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Finding the Fourth Proportional to 1,554.49, 2,331.75 and 458.86

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Solution

The fourth proportional to 1,554.49, 2,331.75 and 458.86 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.49 : 2,331.75 = 458.86 : x
  2. Step 2: Convert to fraction form
    1,554.49/2,331.75 = 458.86/x
  3. Step 3: Cross multiply
    1,554.49x = 2,331.75 × 458.86
  4. Step 4: Simplify right side
    1,554.49x = 1,069,946.81
  5. Step 5: Solve for x
    x = 1,069,946.81/1,554.49
  6. Step 6: Final answer
    x = 688.29

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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.