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Finding the Fourth Proportional to 910.56, 1,364.76 and 499.68

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Solution

The fourth proportional to 910.56, 1,364.76 and 499.68 is: 748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.56 : 1,364.76 = 499.68 : x
  2. Step 2: Convert to fraction form
    910.56/1,364.76 = 499.68/x
  3. Step 3: Cross multiply
    910.56x = 1,364.76 × 499.68
  4. Step 4: Simplify right side
    910.56x = 681,943.28
  5. Step 5: Solve for x
    x = 681,943.28/910.56
  6. Step 6: Final answer
    x = 748.93

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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.