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Finding the Fourth Proportional to 1,054.42, 1,581.81 and 469.63

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Solution

The fourth proportional to 1,054.42, 1,581.81 and 469.63 is: 704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.42 : 1,581.81 = 469.63 : x
  2. Step 2: Convert to fraction form
    1,054.42/1,581.81 = 469.63/x
  3. Step 3: Cross multiply
    1,054.42x = 1,581.81 × 469.63
  4. Step 4: Simplify right side
    1,054.42x = 742,865.43
  5. Step 5: Solve for x
    x = 742,865.43/1,054.42
  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.