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Finding the Fourth Proportional to 1,017.68, 1,525.83 and 469.56

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Solution

The fourth proportional to 1,017.68, 1,525.83 and 469.56 is: 704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.68 : 1,525.83 = 469.56 : x
  2. Step 2: Convert to fraction form
    1,017.68/1,525.83 = 469.56/x
  3. Step 3: Cross multiply
    1,017.68x = 1,525.83 × 469.56
  4. Step 4: Simplify right side
    1,017.68x = 716,468.73
  5. Step 5: Solve for x
    x = 716,468.73/1,017.68
  6. Step 6: Final answer
    x = 704.02

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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.