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Finding the Fourth Proportional to 1,304.73, 1,955.88 and 524.52

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Solution

The fourth proportional to 1,304.73, 1,955.88 and 524.52 is: 786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.73 : 1,955.88 = 524.52 : x
  2. Step 2: Convert to fraction form
    1,304.73/1,955.88 = 524.52/x
  3. Step 3: Cross multiply
    1,304.73x = 1,955.88 × 524.52
  4. Step 4: Simplify right side
    1,304.73x = 1,025,898.18
  5. Step 5: Solve for x
    x = 1,025,898.18/1,304.73
  6. Step 6: Final answer
    x = 786.29

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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.