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Finding the Fourth Proportional to 1,047.47, 1,571.45 and 317.00

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Solution

The fourth proportional to 1,047.47, 1,571.45 and 317.00 is: 475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.47 : 1,571.45 = 317.00 : x
  2. Step 2: Convert to fraction form
    1,047.47/1,571.45 = 317.00/x
  3. Step 3: Cross multiply
    1,047.47x = 1,571.45 × 317.00
  4. Step 4: Simplify right side
    1,047.47x = 498,140.21
  5. Step 5: Solve for x
    x = 498,140.21/1,047.47
  6. Step 6: Final answer
    x = 475.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.