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Finding the Fourth Proportional to 940.10, 1,410.15 and 613.70

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Solution

The fourth proportional to 940.10, 1,410.15 and 613.70 is: 920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.10 : 1,410.15 = 613.70 : x
  2. Step 2: Convert to fraction form
    940.10/1,410.15 = 613.70/x
  3. Step 3: Cross multiply
    940.10x = 1,410.15 × 613.70
  4. Step 4: Simplify right side
    940.10x = 865,409.06
  5. Step 5: Solve for x
    x = 865,409.06/940.10
  6. Step 6: Final answer
    x = 920.55

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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.