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Finding the Fourth Proportional to 914.82, 1,262.30 and 541.66

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Solution

The fourth proportional to 914.82, 1,262.30 and 541.66 is: 747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.82 : 1,262.30 = 541.66 : x
  2. Step 2: Convert to fraction form
    914.82/1,262.30 = 541.66/x
  3. Step 3: Cross multiply
    914.82x = 1,262.30 × 541.66
  4. Step 4: Simplify right side
    914.82x = 683,737.42
  5. Step 5: Solve for x
    x = 683,737.42/914.82
  6. Step 6: Final answer
    x = 747.40

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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.