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Finding the Fourth Proportional to 1,055.86, 1,584.07 and 535.68

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Solution

The fourth proportional to 1,055.86, 1,584.07 and 535.68 is: 803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.86 : 1,584.07 = 535.68 : x
  2. Step 2: Convert to fraction form
    1,055.86/1,584.07 = 535.68/x
  3. Step 3: Cross multiply
    1,055.86x = 1,584.07 × 535.68
  4. Step 4: Simplify right side
    1,055.86x = 848,553.28
  5. Step 5: Solve for x
    x = 848,553.28/1,055.86
  6. Step 6: Final answer
    x = 803.66

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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.