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Finding the Fourth Proportional to 784.84, 1,177.16 and 297.76

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Solution

The fourth proportional to 784.84, 1,177.16 and 297.76 is: 446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.84 : 1,177.16 = 297.76 : x
  2. Step 2: Convert to fraction form
    784.84/1,177.16 = 297.76/x
  3. Step 3: Cross multiply
    784.84x = 1,177.16 × 297.76
  4. Step 4: Simplify right side
    784.84x = 350,511.16
  5. Step 5: Solve for x
    x = 350,511.16/784.84
  6. Step 6: Final answer
    x = 446.60

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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.