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Finding the Fourth Proportional to 1,083.06, 1,624.75 and 313.46

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Solution

The fourth proportional to 1,083.06, 1,624.75 and 313.46 is: 470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.06 : 1,624.75 = 313.46 : x
  2. Step 2: Convert to fraction form
    1,083.06/1,624.75 = 313.46/x
  3. Step 3: Cross multiply
    1,083.06x = 1,624.75 × 313.46
  4. Step 4: Simplify right side
    1,083.06x = 509,294.14
  5. Step 5: Solve for x
    x = 509,294.14/1,083.06
  6. Step 6: Final answer
    x = 470.24

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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.