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Finding the Fourth Proportional to 952.16, 1,426.88 and 562.24

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Solution

The fourth proportional to 952.16, 1,426.88 and 562.24 is: 842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.16 : 1,426.88 = 562.24 : x
  2. Step 2: Convert to fraction form
    952.16/1,426.88 = 562.24/x
  3. Step 3: Cross multiply
    952.16x = 1,426.88 × 562.24
  4. Step 4: Simplify right side
    952.16x = 802,252.20
  5. Step 5: Solve for x
    x = 802,252.20/952.16
  6. Step 6: Final answer
    x = 842.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.