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Finding the Fourth Proportional to 1,563.40, 2,344.54 and 467.40

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Solution

The fourth proportional to 1,563.40, 2,344.54 and 467.40 is: 700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.40 : 2,344.54 = 467.40 : x
  2. Step 2: Convert to fraction form
    1,563.40/2,344.54 = 467.40/x
  3. Step 3: Cross multiply
    1,563.40x = 2,344.54 × 467.40
  4. Step 4: Simplify right side
    1,563.40x = 1,095,838.00
  5. Step 5: Solve for x
    x = 1,095,838.00/1,563.40
  6. Step 6: Final answer
    x = 700.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.