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Finding the Fourth Proportional to 1,554.78, 2,332.49 and 580.80

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Solution

The fourth proportional to 1,554.78, 2,332.49 and 580.80 is: 871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.78 : 2,332.49 = 580.80 : x
  2. Step 2: Convert to fraction form
    1,554.78/2,332.49 = 580.80/x
  3. Step 3: Cross multiply
    1,554.78x = 2,332.49 × 580.80
  4. Step 4: Simplify right side
    1,554.78x = 1,354,707.29
  5. Step 5: Solve for x
    x = 1,354,707.29/1,554.78
  6. Step 6: Final answer
    x = 871.32

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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.