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Finding the Fourth Proportional to 526.50, 788.72 and 496.53

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Solution

The fourth proportional to 526.50, 788.72 and 496.53 is: 743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.50 : 788.72 = 496.53 : x
  2. Step 2: Convert to fraction form
    526.50/788.72 = 496.53/x
  3. Step 3: Cross multiply
    526.50x = 788.72 × 496.53
  4. Step 4: Simplify right side
    526.50x = 391,620.66
  5. Step 5: Solve for x
    x = 391,620.66/526.50
  6. Step 6: Final answer
    x = 743.82

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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.