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Finding the Fourth Proportional to 1,580.45, 2,371.74 and 554.45

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Solution

The fourth proportional to 1,580.45, 2,371.74 and 554.45 is: 832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.45 : 2,371.74 = 554.45 : x
  2. Step 2: Convert to fraction form
    1,580.45/2,371.74 = 554.45/x
  3. Step 3: Cross multiply
    1,580.45x = 2,371.74 × 554.45
  4. Step 4: Simplify right side
    1,580.45x = 1,314,999.38
  5. Step 5: Solve for x
    x = 1,314,999.38/1,580.45
  6. Step 6: Final answer
    x = 832.04

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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.