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Finding the Fourth Proportional to 1,054.34, 1,581.19 and 314.00

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Solution

The fourth proportional to 1,054.34, 1,581.19 and 314.00 is: 470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.34 : 1,581.19 = 314.00 : x
  2. Step 2: Convert to fraction form
    1,054.34/1,581.19 = 314.00/x
  3. Step 3: Cross multiply
    1,054.34x = 1,581.19 × 314.00
  4. Step 4: Simplify right side
    1,054.34x = 496,496.01
  5. Step 5: Solve for x
    x = 496,496.01/1,054.34
  6. Step 6: Final answer
    x = 470.91

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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.