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Finding the Fourth Proportional to 782.94, 1,175.04 and 458.58

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Solution

The fourth proportional to 782.94, 1,175.04 and 458.58 is: 688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.94 : 1,175.04 = 458.58 : x
  2. Step 2: Convert to fraction form
    782.94/1,175.04 = 458.58/x
  3. Step 3: Cross multiply
    782.94x = 1,175.04 × 458.58
  4. Step 4: Simplify right side
    782.94x = 538,849.84
  5. Step 5: Solve for x
    x = 538,849.84/782.94
  6. Step 6: Final answer
    x = 688.24

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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.