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Finding the Fourth Proportional to 897.11, 1,237.75 and 543.17

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Solution

The fourth proportional to 897.11, 1,237.75 and 543.17 is: 749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.11 : 1,237.75 = 543.17 : x
  2. Step 2: Convert to fraction form
    897.11/1,237.75 = 543.17/x
  3. Step 3: Cross multiply
    897.11x = 1,237.75 × 543.17
  4. Step 4: Simplify right side
    897.11x = 672,301.12
  5. Step 5: Solve for x
    x = 672,301.12/897.11
  6. Step 6: Final answer
    x = 749.41

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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.