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Finding the Fourth Proportional to 784.48, 1,176.10 and 297.27

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Solution

The fourth proportional to 784.48, 1,176.10 and 297.27 is: 445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.48 : 1,176.10 = 297.27 : x
  2. Step 2: Convert to fraction form
    784.48/1,176.10 = 297.27/x
  3. Step 3: Cross multiply
    784.48x = 1,176.10 × 297.27
  4. Step 4: Simplify right side
    784.48x = 349,619.25
  5. Step 5: Solve for x
    x = 349,619.25/784.48
  6. Step 6: Final answer
    x = 445.67

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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.