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Finding the Fourth Proportional to 1,505.74, 2,258.75 and 410.19

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Solution

The fourth proportional to 1,505.74, 2,258.75 and 410.19 is: 615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.74 : 2,258.75 = 410.19 : x
  2. Step 2: Convert to fraction form
    1,505.74/2,258.75 = 410.19/x
  3. Step 3: Cross multiply
    1,505.74x = 2,258.75 × 410.19
  4. Step 4: Simplify right side
    1,505.74x = 926,505.37
  5. Step 5: Solve for x
    x = 926,505.37/1,505.74
  6. Step 6: Final answer
    x = 615.32

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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.