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Finding the Fourth Proportional to 1,043.13, 1,564.86 and 523.14

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Solution

The fourth proportional to 1,043.13, 1,564.86 and 523.14 is: 784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.13 : 1,564.86 = 523.14 : x
  2. Step 2: Convert to fraction form
    1,043.13/1,564.86 = 523.14/x
  3. Step 3: Cross multiply
    1,043.13x = 1,564.86 × 523.14
  4. Step 4: Simplify right side
    1,043.13x = 818,640.86
  5. Step 5: Solve for x
    x = 818,640.86/1,043.13
  6. Step 6: Final answer
    x = 784.79

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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.