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Finding the Fourth Proportional to 1,052.49, 1,578.81 and 322.58

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Solution

The fourth proportional to 1,052.49, 1,578.81 and 322.58 is: 483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.49 : 1,578.81 = 322.58 : x
  2. Step 2: Convert to fraction form
    1,052.49/1,578.81 = 322.58/x
  3. Step 3: Cross multiply
    1,052.49x = 1,578.81 × 322.58
  4. Step 4: Simplify right side
    1,052.49x = 509,292.53
  5. Step 5: Solve for x
    x = 509,292.53/1,052.49
  6. Step 6: Final answer
    x = 483.89

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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.