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Finding the Fourth Proportional to 910.54, 1,364.55 and 499.18

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Solution

The fourth proportional to 910.54, 1,364.55 and 499.18 is: 748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.54 : 1,364.55 = 499.18 : x
  2. Step 2: Convert to fraction form
    910.54/1,364.55 = 499.18/x
  3. Step 3: Cross multiply
    910.54x = 1,364.55 × 499.18
  4. Step 4: Simplify right side
    910.54x = 681,156.07
  5. Step 5: Solve for x
    x = 681,156.07/910.54
  6. Step 6: Final answer
    x = 748.08

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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.