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Finding the Fourth Proportional to 1,563.15, 2,344.08 and 522.93

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Solution

The fourth proportional to 1,563.15, 2,344.08 and 522.93 is: 784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.15 : 2,344.08 = 522.93 : x
  2. Step 2: Convert to fraction form
    1,563.15/2,344.08 = 522.93/x
  3. Step 3: Cross multiply
    1,563.15x = 2,344.08 × 522.93
  4. Step 4: Simplify right side
    1,563.15x = 1,225,789.75
  5. Step 5: Solve for x
    x = 1,225,789.75/1,563.15
  6. Step 6: Final answer
    x = 784.18

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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.