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Finding the Fourth Proportional to 1,017.59, 1,525.15 and 496.81

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Solution

The fourth proportional to 1,017.59, 1,525.15 and 496.81 is: 744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.59 : 1,525.15 = 496.81 : x
  2. Step 2: Convert to fraction form
    1,017.59/1,525.15 = 496.81/x
  3. Step 3: Cross multiply
    1,017.59x = 1,525.15 × 496.81
  4. Step 4: Simplify right side
    1,017.59x = 757,709.77
  5. Step 5: Solve for x
    x = 757,709.77/1,017.59
  6. Step 6: Final answer
    x = 744.61

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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.