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Finding the Fourth Proportional to 1,258.53, 1,885.96 and 527.70

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Solution

The fourth proportional to 1,258.53, 1,885.96 and 527.70 is: 790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.53 : 1,885.96 = 527.70 : x
  2. Step 2: Convert to fraction form
    1,258.53/1,885.96 = 527.70/x
  3. Step 3: Cross multiply
    1,258.53x = 1,885.96 × 527.70
  4. Step 4: Simplify right side
    1,258.53x = 995,221.09
  5. Step 5: Solve for x
    x = 995,221.09/1,258.53
  6. Step 6: Final answer
    x = 790.78

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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.