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Finding the Fourth Proportional to 959.52, 1,437.35 and 490.97

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Solution

The fourth proportional to 959.52, 1,437.35 and 490.97 is: 735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.52 : 1,437.35 = 490.97 : x
  2. Step 2: Convert to fraction form
    959.52/1,437.35 = 490.97/x
  3. Step 3: Cross multiply
    959.52x = 1,437.35 × 490.97
  4. Step 4: Simplify right side
    959.52x = 705,698.89
  5. Step 5: Solve for x
    x = 705,698.89/959.52
  6. Step 6: Final answer
    x = 735.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.