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Finding the Fourth Proportional to 1,765.65, 2,648.49 and 533.07

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Solution

The fourth proportional to 1,765.65, 2,648.49 and 533.07 is: 799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.65 : 2,648.49 = 533.07 : x
  2. Step 2: Convert to fraction form
    1,765.65/2,648.49 = 533.07/x
  3. Step 3: Cross multiply
    1,765.65x = 2,648.49 × 533.07
  4. Step 4: Simplify right side
    1,765.65x = 1,411,831.56
  5. Step 5: Solve for x
    x = 1,411,831.56/1,765.65
  6. Step 6: Final answer
    x = 799.61

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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.