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Finding the Fourth Proportional to 1,043.19, 1,564.12 and 523.05

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Solution

The fourth proportional to 1,043.19, 1,564.12 and 523.05 is: 784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.19 : 1,564.12 = 523.05 : x
  2. Step 2: Convert to fraction form
    1,043.19/1,564.12 = 523.05/x
  3. Step 3: Cross multiply
    1,043.19x = 1,564.12 × 523.05
  4. Step 4: Simplify right side
    1,043.19x = 818,112.97
  5. Step 5: Solve for x
    x = 818,112.97/1,043.19
  6. Step 6: Final answer
    x = 784.24

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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.