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Finding the Fourth Proportional to 952.17, 1,313.54 and 598.53

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Solution

The fourth proportional to 952.17, 1,313.54 and 598.53 is: 825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.17 : 1,313.54 = 598.53 : x
  2. Step 2: Convert to fraction form
    952.17/1,313.54 = 598.53/x
  3. Step 3: Cross multiply
    952.17x = 1,313.54 × 598.53
  4. Step 4: Simplify right side
    952.17x = 786,190.10
  5. Step 5: Solve for x
    x = 786,190.10/952.17
  6. Step 6: Final answer
    x = 825.68

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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.