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Finding the Fourth Proportional to 1,505.58, 2,258.41 and 531.46

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Solution

The fourth proportional to 1,505.58, 2,258.41 and 531.46 is: 797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.58 : 2,258.41 = 531.46 : x
  2. Step 2: Convert to fraction form
    1,505.58/2,258.41 = 531.46/x
  3. Step 3: Cross multiply
    1,505.58x = 2,258.41 × 531.46
  4. Step 4: Simplify right side
    1,505.58x = 1,200,254.58
  5. Step 5: Solve for x
    x = 1,200,254.58/1,505.58
  6. Step 6: Final answer
    x = 797.20

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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.