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Finding the Fourth Proportional to 914.96, 1,262.34 and 542.06

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Solution

The fourth proportional to 914.96, 1,262.34 and 542.06 is: 747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.96 : 1,262.34 = 542.06 : x
  2. Step 2: Convert to fraction form
    914.96/1,262.34 = 542.06/x
  3. Step 3: Cross multiply
    914.96x = 1,262.34 × 542.06
  4. Step 4: Simplify right side
    914.96x = 684,264.02
  5. Step 5: Solve for x
    x = 684,264.02/914.96
  6. Step 6: Final answer
    x = 747.86

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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.