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Finding the Fourth Proportional to 1,048.02, 1,571.42 and 317.40

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Solution

The fourth proportional to 1,048.02, 1,571.42 and 317.40 is: 475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.02 : 1,571.42 = 317.40 : x
  2. Step 2: Convert to fraction form
    1,048.02/1,571.42 = 317.40/x
  3. Step 3: Cross multiply
    1,048.02x = 1,571.42 × 317.40
  4. Step 4: Simplify right side
    1,048.02x = 498,768.71
  5. Step 5: Solve for x
    x = 498,768.71/1,048.02
  6. Step 6: Final answer
    x = 475.92

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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.