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Finding the Fourth Proportional to 756.68, 1,044.09 and 457.79

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Solution

The fourth proportional to 756.68, 1,044.09 and 457.79 is: 631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.68 : 1,044.09 = 457.79 : x
  2. Step 2: Convert to fraction form
    756.68/1,044.09 = 457.79/x
  3. Step 3: Cross multiply
    756.68x = 1,044.09 × 457.79
  4. Step 4: Simplify right side
    756.68x = 477,968.74
  5. Step 5: Solve for x
    x = 477,968.74/756.68
  6. Step 6: Final answer
    x = 631.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.