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Finding the Fourth Proportional to 1,053.40, 1,580.44 and 323.12

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Solution

The fourth proportional to 1,053.40, 1,580.44 and 323.12 is: 484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.40 : 1,580.44 = 323.12 : x
  2. Step 2: Convert to fraction form
    1,053.40/1,580.44 = 323.12/x
  3. Step 3: Cross multiply
    1,053.40x = 1,580.44 × 323.12
  4. Step 4: Simplify right side
    1,053.40x = 510,671.77
  5. Step 5: Solve for x
    x = 510,671.77/1,053.40
  6. Step 6: Final answer
    x = 484.78

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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.