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Finding the Fourth Proportional to 1,041.95, 1,563.57 and 393.14

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Solution

The fourth proportional to 1,041.95, 1,563.57 and 393.14 is: 589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.95 : 1,563.57 = 393.14 : x
  2. Step 2: Convert to fraction form
    1,041.95/1,563.57 = 393.14/x
  3. Step 3: Cross multiply
    1,041.95x = 1,563.57 × 393.14
  4. Step 4: Simplify right side
    1,041.95x = 614,701.91
  5. Step 5: Solve for x
    x = 614,701.91/1,041.95
  6. Step 6: Final answer
    x = 589.95

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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.