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Finding the Fourth Proportional to 882.66, 1,315.23 and 785.73

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Solution

The fourth proportional to 882.66, 1,315.23 and 785.73 is: 1,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.66 : 1,315.23 = 785.73 : x
  2. Step 2: Convert to fraction form
    882.66/1,315.23 = 785.73/x
  3. Step 3: Cross multiply
    882.66x = 1,315.23 × 785.73
  4. Step 4: Simplify right side
    882.66x = 1,033,415.67
  5. Step 5: Solve for x
    x = 1,033,415.67/882.66
  6. Step 6: Final answer
    x = 1,170.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.