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Finding the Fourth Proportional to 784.93, 1,176.93 and 298.02

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Solution

The fourth proportional to 784.93, 1,176.93 and 298.02 is: 446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.93 : 1,176.93 = 298.02 : x
  2. Step 2: Convert to fraction form
    784.93/1,176.93 = 298.02/x
  3. Step 3: Cross multiply
    784.93x = 1,176.93 × 298.02
  4. Step 4: Simplify right side
    784.93x = 350,742.79
  5. Step 5: Solve for x
    x = 350,742.79/784.93
  6. Step 6: Final answer
    x = 446.85

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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.