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Finding the Fourth Proportional to 784.38, 1,177.06 and 297.48

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Solution

The fourth proportional to 784.38, 1,177.06 and 297.48 is: 446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.38 : 1,177.06 = 297.48 : x
  2. Step 2: Convert to fraction form
    784.38/1,177.06 = 297.48/x
  3. Step 3: Cross multiply
    784.38x = 1,177.06 × 297.48
  4. Step 4: Simplify right side
    784.38x = 350,151.81
  5. Step 5: Solve for x
    x = 350,151.81/784.38
  6. Step 6: Final answer
    x = 446.41

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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.