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Finding the Fourth Proportional to 763.57, 1,053.90 and 484.19

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Solution

The fourth proportional to 763.57, 1,053.90 and 484.19 is: 668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.57 : 1,053.90 = 484.19 : x
  2. Step 2: Convert to fraction form
    763.57/1,053.90 = 484.19/x
  3. Step 3: Cross multiply
    763.57x = 1,053.90 × 484.19
  4. Step 4: Simplify right side
    763.57x = 510,287.84
  5. Step 5: Solve for x
    x = 510,287.84/763.57
  6. Step 6: Final answer
    x = 668.29

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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.