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Finding the Fourth Proportional to 1,047.57, 1,571.28 and 317.13

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Solution

The fourth proportional to 1,047.57, 1,571.28 and 317.13 is: 475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.57 : 1,571.28 = 317.13 : x
  2. Step 2: Convert to fraction form
    1,047.57/1,571.28 = 317.13/x
  3. Step 3: Cross multiply
    1,047.57x = 1,571.28 × 317.13
  4. Step 4: Simplify right side
    1,047.57x = 498,300.03
  5. Step 5: Solve for x
    x = 498,300.03/1,047.57
  6. Step 6: Final answer
    x = 475.67

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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.