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Finding the Fourth Proportional to 1,054.69, 1,581.95 and 469.71

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Solution

The fourth proportional to 1,054.69, 1,581.95 and 469.71 is: 704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.69 : 1,581.95 = 469.71 : x
  2. Step 2: Convert to fraction form
    1,054.69/1,581.95 = 469.71/x
  3. Step 3: Cross multiply
    1,054.69x = 1,581.95 × 469.71
  4. Step 4: Simplify right side
    1,054.69x = 743,057.73
  5. Step 5: Solve for x
    x = 743,057.73/1,054.69
  6. Step 6: Final answer
    x = 704.53

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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.