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Finding the Fourth Proportional to 1,505.83, 2,258.85 and 531.61

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Solution

The fourth proportional to 1,505.83, 2,258.85 and 531.61 is: 797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.83 : 2,258.85 = 531.61 : x
  2. Step 2: Convert to fraction form
    1,505.83/2,258.85 = 531.61/x
  3. Step 3: Cross multiply
    1,505.83x = 2,258.85 × 531.61
  4. Step 4: Simplify right side
    1,505.83x = 1,200,827.25
  5. Step 5: Solve for x
    x = 1,200,827.25/1,505.83
  6. Step 6: Final answer
    x = 797.45

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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.