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Finding the Fourth Proportional to 559.76, 840.84 and 526.88

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Solution

The fourth proportional to 559.76, 840.84 and 526.88 is: 791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.76 : 840.84 = 526.88 : x
  2. Step 2: Convert to fraction form
    559.76/840.84 = 526.88/x
  3. Step 3: Cross multiply
    559.76x = 840.84 × 526.88
  4. Step 4: Simplify right side
    559.76x = 443,021.78
  5. Step 5: Solve for x
    x = 443,021.78/559.76
  6. Step 6: Final answer
    x = 791.45

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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.