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Finding the Fourth Proportional to 952, 1,314.08 and 603.20

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Solution

The fourth proportional to 952, 1,314.08 and 603.20 is: 832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    952 : 1,314.08 = 603.20 : x
  2. Step 2: Convert to fraction form
    952/1,314.08 = 603.20/x
  3. Step 3: Cross multiply
    952x = 1,314.08 × 603.20
  4. Step 4: Simplify right side
    952x = 792,653.06
  5. Step 5: Solve for x
    x = 792,653.06/952
  6. Step 6: Final answer
    x = 832.62

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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.