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Finding the Fourth Proportional to 1,393.32, 2,090.10 and 527.64

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Solution

The fourth proportional to 1,393.32, 2,090.10 and 527.64 is: 791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.32 : 2,090.10 = 527.64 : x
  2. Step 2: Convert to fraction form
    1,393.32/2,090.10 = 527.64/x
  3. Step 3: Cross multiply
    1,393.32x = 2,090.10 × 527.64
  4. Step 4: Simplify right side
    1,393.32x = 1,102,820.36
  5. Step 5: Solve for x
    x = 1,102,820.36/1,393.32
  6. Step 6: Final answer
    x = 791.51

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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.