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Finding the Fourth Proportional to 1,053.65, 1,580.75 and 323.21

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Solution

The fourth proportional to 1,053.65, 1,580.75 and 323.21 is: 484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.65 : 1,580.75 = 323.21 : x
  2. Step 2: Convert to fraction form
    1,053.65/1,580.75 = 323.21/x
  3. Step 3: Cross multiply
    1,053.65x = 1,580.75 × 323.21
  4. Step 4: Simplify right side
    1,053.65x = 510,904.69
  5. Step 5: Solve for x
    x = 510,904.69/1,053.65
  6. Step 6: Final answer
    x = 484.89

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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.