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Finding the Fourth Proportional to 1,563.46, 2,345.20 and 467.84

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Solution

The fourth proportional to 1,563.46, 2,345.20 and 467.84 is: 701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.46 : 2,345.20 = 467.84 : x
  2. Step 2: Convert to fraction form
    1,563.46/2,345.20 = 467.84/x
  3. Step 3: Cross multiply
    1,563.46x = 2,345.20 × 467.84
  4. Step 4: Simplify right side
    1,563.46x = 1,097,178.37
  5. Step 5: Solve for x
    x = 1,097,178.37/1,563.46
  6. Step 6: Final answer
    x = 701.76

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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.