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Finding the Fourth Proportional to 1,076.60, 1,614.96 and 527.24

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Solution

The fourth proportional to 1,076.60, 1,614.96 and 527.24 is: 790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.60 : 1,614.96 = 527.24 : x
  2. Step 2: Convert to fraction form
    1,076.60/1,614.96 = 527.24/x
  3. Step 3: Cross multiply
    1,076.60x = 1,614.96 × 527.24
  4. Step 4: Simplify right side
    1,076.60x = 851,471.51
  5. Step 5: Solve for x
    x = 851,471.51/1,076.60
  6. Step 6: Final answer
    x = 790.89

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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.