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Finding the Fourth Proportional to 900.45, 1,350.68 and 510.57

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Solution

The fourth proportional to 900.45, 1,350.68 and 510.57 is: 765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.45 : 1,350.68 = 510.57 : x
  2. Step 2: Convert to fraction form
    900.45/1,350.68 = 510.57/x
  3. Step 3: Cross multiply
    900.45x = 1,350.68 × 510.57
  4. Step 4: Simplify right side
    900.45x = 689,614.13
  5. Step 5: Solve for x
    x = 689,614.13/900.45
  6. Step 6: Final answer
    x = 765.86

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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.