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Finding the Fourth Proportional to 907.86, 1,360.87 and 359.83

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Solution

The fourth proportional to 907.86, 1,360.87 and 359.83 is: 539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.86 : 1,360.87 = 359.83 : x
  2. Step 2: Convert to fraction form
    907.86/1,360.87 = 359.83/x
  3. Step 3: Cross multiply
    907.86x = 1,360.87 × 359.83
  4. Step 4: Simplify right side
    907.86x = 489,681.85
  5. Step 5: Solve for x
    x = 489,681.85/907.86
  6. Step 6: Final answer
    x = 539.38

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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.