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Finding the Fourth Proportional to 1,053.49, 1,580.31 and 323.58

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Solution

The fourth proportional to 1,053.49, 1,580.31 and 323.58 is: 485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.49 : 1,580.31 = 323.58 : x
  2. Step 2: Convert to fraction form
    1,053.49/1,580.31 = 323.58/x
  3. Step 3: Cross multiply
    1,053.49x = 1,580.31 × 323.58
  4. Step 4: Simplify right side
    1,053.49x = 511,356.71
  5. Step 5: Solve for x
    x = 511,356.71/1,053.49
  6. Step 6: Final answer
    x = 485.39

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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.