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Finding the Fourth Proportional to 952.32, 1,426.32 and 760.08

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Solution

The fourth proportional to 952.32, 1,426.32 and 760.08 is: 1,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.32 : 1,426.32 = 760.08 : x
  2. Step 2: Convert to fraction form
    952.32/1,426.32 = 760.08/x
  3. Step 3: Cross multiply
    952.32x = 1,426.32 × 760.08
  4. Step 4: Simplify right side
    952.32x = 1,084,117.31
  5. Step 5: Solve for x
    x = 1,084,117.31/952.32
  6. Step 6: Final answer
    x = 1,138.40

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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.