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Finding the Fourth Proportional to 1,168, 1,752.20 and 509.84

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Solution

The fourth proportional to 1,168, 1,752.20 and 509.84 is: 764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168 : 1,752.20 = 509.84 : x
  2. Step 2: Convert to fraction form
    1,168/1,752.20 = 509.84/x
  3. Step 3: Cross multiply
    1,168x = 1,752.20 × 509.84
  4. Step 4: Simplify right side
    1,168x = 893,341.65
  5. Step 5: Solve for x
    x = 893,341.65/1,168
  6. Step 6: Final answer
    x = 764.85

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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.