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Finding the Fourth Proportional to 1,176.61, 1,765.29 and 708.61

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Solution

The fourth proportional to 1,176.61, 1,765.29 and 708.61 is: 1,063.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.61 : 1,765.29 = 708.61 : x
  2. Step 2: Convert to fraction form
    1,176.61/1,765.29 = 708.61/x
  3. Step 3: Cross multiply
    1,176.61x = 1,765.29 × 708.61
  4. Step 4: Simplify right side
    1,176.61x = 1,250,892.76
  5. Step 5: Solve for x
    x = 1,250,892.76/1,176.61
  6. Step 6: Final answer
    x = 1,063.13

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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.