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Finding the Fourth Proportional to 1,053.47, 1,580.10 and 323.05

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Solution

The fourth proportional to 1,053.47, 1,580.10 and 323.05 is: 484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.47 : 1,580.10 = 323.05 : x
  2. Step 2: Convert to fraction form
    1,053.47/1,580.10 = 323.05/x
  3. Step 3: Cross multiply
    1,053.47x = 1,580.10 × 323.05
  4. Step 4: Simplify right side
    1,053.47x = 510,451.31
  5. Step 5: Solve for x
    x = 510,451.31/1,053.47
  6. Step 6: Final answer
    x = 484.54

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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.