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Finding the Fourth Proportional to 630.08, 945.12 and 527.12

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Solution

The fourth proportional to 630.08, 945.12 and 527.12 is: 790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.08 : 945.12 = 527.12 : x
  2. Step 2: Convert to fraction form
    630.08/945.12 = 527.12/x
  3. Step 3: Cross multiply
    630.08x = 945.12 × 527.12
  4. Step 4: Simplify right side
    630.08x = 498,191.65
  5. Step 5: Solve for x
    x = 498,191.65/630.08
  6. Step 6: Final answer
    x = 790.68

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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.