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Finding the Fourth Proportional to 1,176.46, 1,764.68 and 657.24

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Solution

The fourth proportional to 1,176.46, 1,764.68 and 657.24 is: 985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.46 : 1,764.68 = 657.24 : x
  2. Step 2: Convert to fraction form
    1,176.46/1,764.68 = 657.24/x
  3. Step 3: Cross multiply
    1,176.46x = 1,764.68 × 657.24
  4. Step 4: Simplify right side
    1,176.46x = 1,159,818.28
  5. Step 5: Solve for x
    x = 1,159,818.28/1,176.46
  6. Step 6: Final answer
    x = 985.85

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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.