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Finding the Fourth Proportional to 1,053.34, 1,580.09 and 322.82

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Solution

The fourth proportional to 1,053.34, 1,580.09 and 322.82 is: 484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.34 : 1,580.09 = 322.82 : x
  2. Step 2: Convert to fraction form
    1,053.34/1,580.09 = 322.82/x
  3. Step 3: Cross multiply
    1,053.34x = 1,580.09 × 322.82
  4. Step 4: Simplify right side
    1,053.34x = 510,084.65
  5. Step 5: Solve for x
    x = 510,084.65/1,053.34
  6. Step 6: Final answer
    x = 484.25

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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.