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Finding the Fourth Proportional to 763.68, 1,053.88 and 453.18

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Solution

The fourth proportional to 763.68, 1,053.88 and 453.18 is: 625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.68 : 1,053.88 = 453.18 : x
  2. Step 2: Convert to fraction form
    763.68/1,053.88 = 453.18/x
  3. Step 3: Cross multiply
    763.68x = 1,053.88 × 453.18
  4. Step 4: Simplify right side
    763.68x = 477,597.34
  5. Step 5: Solve for x
    x = 477,597.34/763.68
  6. Step 6: Final answer
    x = 625.39

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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.