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Finding the Fourth Proportional to 1,176.96, 1,765.32 and 527.16

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Solution

The fourth proportional to 1,176.96, 1,765.32 and 527.16 is: 790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.96 : 1,765.32 = 527.16 : x
  2. Step 2: Convert to fraction form
    1,176.96/1,765.32 = 527.16/x
  3. Step 3: Cross multiply
    1,176.96x = 1,765.32 × 527.16
  4. Step 4: Simplify right side
    1,176.96x = 930,606.09
  5. Step 5: Solve for x
    x = 930,606.09/1,176.96
  6. Step 6: Final answer
    x = 790.69

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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.