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Finding the Fourth Proportional to 1,543.88, 2,316.17 and 448.33

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Solution

The fourth proportional to 1,543.88, 2,316.17 and 448.33 is: 672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.88 : 2,316.17 = 448.33 : x
  2. Step 2: Convert to fraction form
    1,543.88/2,316.17 = 448.33/x
  3. Step 3: Cross multiply
    1,543.88x = 2,316.17 × 448.33
  4. Step 4: Simplify right side
    1,543.88x = 1,038,394.67
  5. Step 5: Solve for x
    x = 1,038,394.67/1,543.88
  6. Step 6: Final answer
    x = 672.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.