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Finding the Fourth Proportional to 1,765.28, 2,648.06 and 595.28

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Solution

The fourth proportional to 1,765.28, 2,648.06 and 595.28 is: 892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.28 : 2,648.06 = 595.28 : x
  2. Step 2: Convert to fraction form
    1,765.28/2,648.06 = 595.28/x
  3. Step 3: Cross multiply
    1,765.28x = 2,648.06 × 595.28
  4. Step 4: Simplify right side
    1,765.28x = 1,576,320.94
  5. Step 5: Solve for x
    x = 1,576,320.94/1,765.28
  6. Step 6: Final answer
    x = 892.96

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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.