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Finding the Fourth Proportional to 1,028.40, 1,541.16 and 771.60

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Solution

The fourth proportional to 1,028.40, 1,541.16 and 771.60 is: 1,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.40 : 1,541.16 = 771.60 : x
  2. Step 2: Convert to fraction form
    1,028.40/1,541.16 = 771.60/x
  3. Step 3: Cross multiply
    1,028.40x = 1,541.16 × 771.60
  4. Step 4: Simplify right side
    1,028.40x = 1,189,159.06
  5. Step 5: Solve for x
    x = 1,189,159.06/1,028.40
  6. Step 6: Final answer
    x = 1,156.32

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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.