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Finding the Fourth Proportional to 1,296.02, 1,944.30 and 526.52

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Solution

The fourth proportional to 1,296.02, 1,944.30 and 526.52 is: 789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.02 : 1,944.30 = 526.52 : x
  2. Step 2: Convert to fraction form
    1,296.02/1,944.30 = 526.52/x
  3. Step 3: Cross multiply
    1,296.02x = 1,944.30 × 526.52
  4. Step 4: Simplify right side
    1,296.02x = 1,023,712.84
  5. Step 5: Solve for x
    x = 1,023,712.84/1,296.02
  6. Step 6: Final answer
    x = 789.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.