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Finding the Fourth Proportional to 1,554.28, 2,330.61 and 458.49

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Solution

The fourth proportional to 1,554.28, 2,330.61 and 458.49 is: 687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.28 : 2,330.61 = 458.49 : x
  2. Step 2: Convert to fraction form
    1,554.28/2,330.61 = 458.49/x
  3. Step 3: Cross multiply
    1,554.28x = 2,330.61 × 458.49
  4. Step 4: Simplify right side
    1,554.28x = 1,068,568.40
  5. Step 5: Solve for x
    x = 1,068,568.40/1,554.28
  6. Step 6: Final answer
    x = 687.50

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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.