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Finding the Fourth Proportional to 1,052.04, 1,576.44 and 777.72

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Solution

The fourth proportional to 1,052.04, 1,576.44 and 777.72 is: 1,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.04 : 1,576.44 = 777.72 : x
  2. Step 2: Convert to fraction form
    1,052.04/1,576.44 = 777.72/x
  3. Step 3: Cross multiply
    1,052.04x = 1,576.44 × 777.72
  4. Step 4: Simplify right side
    1,052.04x = 1,226,028.92
  5. Step 5: Solve for x
    x = 1,226,028.92/1,052.04
  6. Step 6: Final answer
    x = 1,165.38

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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.