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Finding the Fourth Proportional to 952.02, 1,314.02 and 598.25

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Solution

The fourth proportional to 952.02, 1,314.02 and 598.25 is: 825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.02 : 1,314.02 = 598.25 : x
  2. Step 2: Convert to fraction form
    952.02/1,314.02 = 598.25/x
  3. Step 3: Cross multiply
    952.02x = 1,314.02 × 598.25
  4. Step 4: Simplify right side
    952.02x = 786,117.25
  5. Step 5: Solve for x
    x = 786,117.25/952.02
  6. Step 6: Final answer
    x = 825.74

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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.