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Finding the Fourth Proportional to 868.58, 1,303.09 and 457.61

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Solution

The fourth proportional to 868.58, 1,303.09 and 457.61 is: 686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.58 : 1,303.09 = 457.61 : x
  2. Step 2: Convert to fraction form
    868.58/1,303.09 = 457.61/x
  3. Step 3: Cross multiply
    868.58x = 1,303.09 × 457.61
  4. Step 4: Simplify right side
    868.58x = 596,299.36
  5. Step 5: Solve for x
    x = 596,299.36/868.58
  6. Step 6: Final answer
    x = 686.52

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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.