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Finding the Fourth Proportional to 756.83, 1,044.84 and 458.13

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Solution

The fourth proportional to 756.83, 1,044.84 and 458.13 is: 632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.83 : 1,044.84 = 458.13 : x
  2. Step 2: Convert to fraction form
    756.83/1,044.84 = 458.13/x
  3. Step 3: Cross multiply
    756.83x = 1,044.84 × 458.13
  4. Step 4: Simplify right side
    756.83x = 478,672.55
  5. Step 5: Solve for x
    x = 478,672.55/756.83
  6. Step 6: Final answer
    x = 632.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.