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Finding the Fourth Proportional to 1,765.29, 2,647.97 and 466.71

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Solution

The fourth proportional to 1,765.29, 2,647.97 and 466.71 is: 700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.29 : 2,647.97 = 466.71 : x
  2. Step 2: Convert to fraction form
    1,765.29/2,647.97 = 466.71/x
  3. Step 3: Cross multiply
    1,765.29x = 2,647.97 × 466.71
  4. Step 4: Simplify right side
    1,765.29x = 1,235,831.75
  5. Step 5: Solve for x
    x = 1,235,831.75/1,765.29
  6. Step 6: Final answer
    x = 700.07

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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.