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Finding the Fourth Proportional to 901.90, 1,350.44 and 531.40

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Solution

The fourth proportional to 901.90, 1,350.44 and 531.40 is: 795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.90 : 1,350.44 = 531.40 : x
  2. Step 2: Convert to fraction form
    901.90/1,350.44 = 531.40/x
  3. Step 3: Cross multiply
    901.90x = 1,350.44 × 531.40
  4. Step 4: Simplify right side
    901.90x = 717,623.82
  5. Step 5: Solve for x
    x = 717,623.82/901.90
  6. Step 6: Final answer
    x = 795.68

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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.