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Finding the Fourth Proportional to 1,650.42, 2,475.66 and 784.56

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Solution

The fourth proportional to 1,650.42, 2,475.66 and 784.56 is: 1,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.42 : 2,475.66 = 784.56 : x
  2. Step 2: Convert to fraction form
    1,650.42/2,475.66 = 784.56/x
  3. Step 3: Cross multiply
    1,650.42x = 2,475.66 × 784.56
  4. Step 4: Simplify right side
    1,650.42x = 1,942,303.81
  5. Step 5: Solve for x
    x = 1,942,303.81/1,650.42
  6. Step 6: Final answer
    x = 1,176.85

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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.