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Finding the Fourth Proportional to 1,502.32, 2,252.64 and 528.16

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Solution

The fourth proportional to 1,502.32, 2,252.64 and 528.16 is: 791.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.32 : 2,252.64 = 528.16 : x
  2. Step 2: Convert to fraction form
    1,502.32/2,252.64 = 528.16/x
  3. Step 3: Cross multiply
    1,502.32x = 2,252.64 × 528.16
  4. Step 4: Simplify right side
    1,502.32x = 1,189,754.34
  5. Step 5: Solve for x
    x = 1,189,754.34/1,502.32
  6. Step 6: Final answer
    x = 791.94

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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.