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Finding the Fourth Proportional to 1,176.57, 1,764.36 and 482.76

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Solution

The fourth proportional to 1,176.57, 1,764.36 and 482.76 is: 723.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.57 : 1,764.36 = 482.76 : x
  2. Step 2: Convert to fraction form
    1,176.57/1,764.36 = 482.76/x
  3. Step 3: Cross multiply
    1,176.57x = 1,764.36 × 482.76
  4. Step 4: Simplify right side
    1,176.57x = 851,762.43
  5. Step 5: Solve for x
    x = 851,762.43/1,176.57
  6. Step 6: Final answer
    x = 723.94

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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.