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Finding the Fourth Proportional to 784.70, 1,176.95 and 433.95

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Solution

The fourth proportional to 784.70, 1,176.95 and 433.95 is: 650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.70 : 1,176.95 = 433.95 : x
  2. Step 2: Convert to fraction form
    784.70/1,176.95 = 433.95/x
  3. Step 3: Cross multiply
    784.70x = 1,176.95 × 433.95
  4. Step 4: Simplify right side
    784.70x = 510,739.70
  5. Step 5: Solve for x
    x = 510,739.70/784.70
  6. Step 6: Final answer
    x = 650.87

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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.