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Finding the Fourth Proportional to 1,043.62, 1,565.50 and 350.26

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Solution

The fourth proportional to 1,043.62, 1,565.50 and 350.26 is: 525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.62 : 1,565.50 = 350.26 : x
  2. Step 2: Convert to fraction form
    1,043.62/1,565.50 = 350.26/x
  3. Step 3: Cross multiply
    1,043.62x = 1,565.50 × 350.26
  4. Step 4: Simplify right side
    1,043.62x = 548,332.03
  5. Step 5: Solve for x
    x = 548,332.03/1,043.62
  6. Step 6: Final answer
    x = 525.41

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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.