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Finding the Fourth Proportional to 756.53, 1,134.80 and 208.76

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Solution

The fourth proportional to 756.53, 1,134.80 and 208.76 is: 313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.53 : 1,134.80 = 208.76 : x
  2. Step 2: Convert to fraction form
    756.53/1,134.80 = 208.76/x
  3. Step 3: Cross multiply
    756.53x = 1,134.80 × 208.76
  4. Step 4: Simplify right side
    756.53x = 236,894.13
  5. Step 5: Solve for x
    x = 236,894.13/756.53
  6. Step 6: Final answer
    x = 313.13

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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.