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Finding the Fourth Proportional to 1,017.91, 1,525.11 and 688.12

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Solution

The fourth proportional to 1,017.91, 1,525.11 and 688.12 is: 1,030.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.91 : 1,525.11 = 688.12 : x
  2. Step 2: Convert to fraction form
    1,017.91/1,525.11 = 688.12/x
  3. Step 3: Cross multiply
    1,017.91x = 1,525.11 × 688.12
  4. Step 4: Simplify right side
    1,017.91x = 1,049,458.69
  5. Step 5: Solve for x
    x = 1,049,458.69/1,017.91
  6. Step 6: Final answer
    x = 1,030.99

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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.