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Finding the Fourth Proportional to 907.58, 1,359.84 and 582.78

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Solution

The fourth proportional to 907.58, 1,359.84 and 582.78 is: 873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.58 : 1,359.84 = 582.78 : x
  2. Step 2: Convert to fraction form
    907.58/1,359.84 = 582.78/x
  3. Step 3: Cross multiply
    907.58x = 1,359.84 × 582.78
  4. Step 4: Simplify right side
    907.58x = 792,487.56
  5. Step 5: Solve for x
    x = 792,487.56/907.58
  6. Step 6: Final answer
    x = 873.19

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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.