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Finding the Fourth Proportional to 1,563.23, 2,345.14 and 467.57

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Solution

The fourth proportional to 1,563.23, 2,345.14 and 467.57 is: 701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.23 : 2,345.14 = 467.57 : x
  2. Step 2: Convert to fraction form
    1,563.23/2,345.14 = 467.57/x
  3. Step 3: Cross multiply
    1,563.23x = 2,345.14 × 467.57
  4. Step 4: Simplify right side
    1,563.23x = 1,096,506.55
  5. Step 5: Solve for x
    x = 1,096,506.55/1,563.23
  6. Step 6: Final answer
    x = 701.44

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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.