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Finding the Fourth Proportional to 953.02, 1,314.73 and 575.07

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Solution

The fourth proportional to 953.02, 1,314.73 and 575.07 is: 793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.02 : 1,314.73 = 575.07 : x
  2. Step 2: Convert to fraction form
    953.02/1,314.73 = 575.07/x
  3. Step 3: Cross multiply
    953.02x = 1,314.73 × 575.07
  4. Step 4: Simplify right side
    953.02x = 756,061.78
  5. Step 5: Solve for x
    x = 756,061.78/953.02
  6. Step 6: Final answer
    x = 793.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.