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Finding the Fourth Proportional to 869.61, 1,306.22 and 840.45

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Solution

The fourth proportional to 869.61, 1,306.22 and 840.45 is: 1,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.61 : 1,306.22 = 840.45 : x
  2. Step 2: Convert to fraction form
    869.61/1,306.22 = 840.45/x
  3. Step 3: Cross multiply
    869.61x = 1,306.22 × 840.45
  4. Step 4: Simplify right side
    869.61x = 1,097,808.40
  5. Step 5: Solve for x
    x = 1,097,808.40/869.61
  6. Step 6: Final answer
    x = 1,262.41

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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.