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Finding the Fourth Proportional to 1,054.24, 1,580.94 and 313.70

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Solution

The fourth proportional to 1,054.24, 1,580.94 and 313.70 is: 470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.24 : 1,580.94 = 313.70 : x
  2. Step 2: Convert to fraction form
    1,054.24/1,580.94 = 313.70/x
  3. Step 3: Cross multiply
    1,054.24x = 1,580.94 × 313.70
  4. Step 4: Simplify right side
    1,054.24x = 495,940.88
  5. Step 5: Solve for x
    x = 495,940.88/1,054.24
  6. Step 6: Final answer
    x = 470.43

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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.