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Finding the Fourth Proportional to 763.53, 1,053.82 and 448.98

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Solution

The fourth proportional to 763.53, 1,053.82 and 448.98 is: 619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.53 : 1,053.82 = 448.98 : x
  2. Step 2: Convert to fraction form
    763.53/1,053.82 = 448.98/x
  3. Step 3: Cross multiply
    763.53x = 1,053.82 × 448.98
  4. Step 4: Simplify right side
    763.53x = 473,144.10
  5. Step 5: Solve for x
    x = 473,144.10/763.53
  6. Step 6: Final answer
    x = 619.68

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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.