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Finding the Fourth Proportional to 953.17, 1,314.91 and 599.53

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Solution

The fourth proportional to 953.17, 1,314.91 and 599.53 is: 827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.17 : 1,314.91 = 599.53 : x
  2. Step 2: Convert to fraction form
    953.17/1,314.91 = 599.53/x
  3. Step 3: Cross multiply
    953.17x = 1,314.91 × 599.53
  4. Step 4: Simplify right side
    953.17x = 788,327.99
  5. Step 5: Solve for x
    x = 788,327.99/953.17
  6. Step 6: Final answer
    x = 827.06

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Why These Related Problems?

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