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Finding the Fourth Proportional to 1,126.28, 1,689.29 and 533.15

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Solution

The fourth proportional to 1,126.28, 1,689.29 and 533.15 is: 799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.28 : 1,689.29 = 533.15 : x
  2. Step 2: Convert to fraction form
    1,126.28/1,689.29 = 533.15/x
  3. Step 3: Cross multiply
    1,126.28x = 1,689.29 × 533.15
  4. Step 4: Simplify right side
    1,126.28x = 900,646.52
  5. Step 5: Solve for x
    x = 900,646.52/1,126.28
  6. Step 6: Final answer
    x = 799.67

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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.