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Finding the Fourth Proportional to 763.08, 1,053.02 and 431.49

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Solution

The fourth proportional to 763.08, 1,053.02 and 431.49 is: 595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.08 : 1,053.02 = 431.49 : x
  2. Step 2: Convert to fraction form
    763.08/1,053.02 = 431.49/x
  3. Step 3: Cross multiply
    763.08x = 1,053.02 × 431.49
  4. Step 4: Simplify right side
    763.08x = 454,367.60
  5. Step 5: Solve for x
    x = 454,367.60/763.08
  6. Step 6: Final answer
    x = 595.44

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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.