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Finding the Fourth Proportional to 1,049.28, 1,570.68 and 561.12

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Solution

The fourth proportional to 1,049.28, 1,570.68 and 561.12 is: 839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.28 : 1,570.68 = 561.12 : x
  2. Step 2: Convert to fraction form
    1,049.28/1,570.68 = 561.12/x
  3. Step 3: Cross multiply
    1,049.28x = 1,570.68 × 561.12
  4. Step 4: Simplify right side
    1,049.28x = 881,339.96
  5. Step 5: Solve for x
    x = 881,339.96/1,049.28
  6. Step 6: Final answer
    x = 839.95

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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.