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Finding the Fourth Proportional to 786.29, 1,182.67 and 711.77

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Solution

The fourth proportional to 786.29, 1,182.67 and 711.77 is: 1,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.29 : 1,182.67 = 711.77 : x
  2. Step 2: Convert to fraction form
    786.29/1,182.67 = 711.77/x
  3. Step 3: Cross multiply
    786.29x = 1,182.67 × 711.77
  4. Step 4: Simplify right side
    786.29x = 841,781.33
  5. Step 5: Solve for x
    x = 841,781.33/786.29
  6. Step 6: Final answer
    x = 1,070.58

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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.