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Finding the Fourth Proportional to 1,505.97, 2,258.96 and 410.34

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Solution

The fourth proportional to 1,505.97, 2,258.96 and 410.34 is: 615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.97 : 2,258.96 = 410.34 : x
  2. Step 2: Convert to fraction form
    1,505.97/2,258.96 = 410.34/x
  3. Step 3: Cross multiply
    1,505.97x = 2,258.96 × 410.34
  4. Step 4: Simplify right side
    1,505.97x = 926,941.65
  5. Step 5: Solve for x
    x = 926,941.65/1,505.97
  6. Step 6: Final answer
    x = 615.51

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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.