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Finding the Fourth Proportional to 907.14, 1,359.73 and 649.86

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Solution

The fourth proportional to 907.14, 1,359.73 and 649.86 is: 974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.14 : 1,359.73 = 649.86 : x
  2. Step 2: Convert to fraction form
    907.14/1,359.73 = 649.86/x
  3. Step 3: Cross multiply
    907.14x = 1,359.73 × 649.86
  4. Step 4: Simplify right side
    907.14x = 883,634.14
  5. Step 5: Solve for x
    x = 883,634.14/907.14
  6. Step 6: Final answer
    x = 974.09

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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.