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Finding the Fourth Proportional to 869.58, 1,303.83 and 458.46

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Solution

The fourth proportional to 869.58, 1,303.83 and 458.46 is: 687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.58 : 1,303.83 = 458.46 : x
  2. Step 2: Convert to fraction form
    869.58/1,303.83 = 458.46/x
  3. Step 3: Cross multiply
    869.58x = 1,303.83 × 458.46
  4. Step 4: Simplify right side
    869.58x = 597,753.90
  5. Step 5: Solve for x
    x = 597,753.90/869.58
  6. Step 6: Final answer
    x = 687.41

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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.