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Finding the Fourth Proportional to 1,554.48, 2,331.74 and 458.87

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Solution

The fourth proportional to 1,554.48, 2,331.74 and 458.87 is: 688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.48 : 2,331.74 = 458.87 : x
  2. Step 2: Convert to fraction form
    1,554.48/2,331.74 = 458.87/x
  3. Step 3: Cross multiply
    1,554.48x = 2,331.74 × 458.87
  4. Step 4: Simplify right side
    1,554.48x = 1,069,965.53
  5. Step 5: Solve for x
    x = 1,069,965.53/1,554.48
  6. Step 6: Final answer
    x = 688.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.