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Finding the Fourth Proportional to 907.12, 1,363.12 and 496.56

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Solution

The fourth proportional to 907.12, 1,363.12 and 496.56 is: 746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.12 : 1,363.12 = 496.56 : x
  2. Step 2: Convert to fraction form
    907.12/1,363.12 = 496.56/x
  3. Step 3: Cross multiply
    907.12x = 1,363.12 × 496.56
  4. Step 4: Simplify right side
    907.12x = 676,870.87
  5. Step 5: Solve for x
    x = 676,870.87/907.12
  6. Step 6: Final answer
    x = 746.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.