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Finding the Fourth Proportional to 907, 1,359.54 and 582.28

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Solution

The fourth proportional to 907, 1,359.54 and 582.28 is: 872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    907 : 1,359.54 = 582.28 : x
  2. Step 2: Convert to fraction form
    907/1,359.54 = 582.28/x
  3. Step 3: Cross multiply
    907x = 1,359.54 × 582.28
  4. Step 4: Simplify right side
    907x = 791,632.95
  5. Step 5: Solve for x
    x = 791,632.95/907
  6. Step 6: Final answer
    x = 872.80

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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.