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Finding the Fourth Proportional to 907.84, 1,359.60 and 496.36

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Solution

The fourth proportional to 907.84, 1,359.60 and 496.36 is: 743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.84 : 1,359.60 = 496.36 : x
  2. Step 2: Convert to fraction form
    907.84/1,359.60 = 496.36/x
  3. Step 3: Cross multiply
    907.84x = 1,359.60 × 496.36
  4. Step 4: Simplify right side
    907.84x = 674,851.06
  5. Step 5: Solve for x
    x = 674,851.06/907.84
  6. Step 6: Final answer
    x = 743.36

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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.