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Finding the Fourth Proportional to 907.09, 1,360.64 and 496.58

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Solution

The fourth proportional to 907.09, 1,360.64 and 496.58 is: 744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.09 : 1,360.64 = 496.58 : x
  2. Step 2: Convert to fraction form
    907.09/1,360.64 = 496.58/x
  3. Step 3: Cross multiply
    907.09x = 1,360.64 × 496.58
  4. Step 4: Simplify right side
    907.09x = 675,661.05
  5. Step 5: Solve for x
    x = 675,661.05/907.09
  6. Step 6: Final answer
    x = 744.87

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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.