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Finding the Fourth Proportional to 914.58, 1,262 and 516.18

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Solution

The fourth proportional to 914.58, 1,262 and 516.18 is: 712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.58 : 1,262 = 516.18 : x
  2. Step 2: Convert to fraction form
    914.58/1,262 = 516.18/x
  3. Step 3: Cross multiply
    914.58x = 1,262 × 516.18
  4. Step 4: Simplify right side
    914.58x = 651,419.16
  5. Step 5: Solve for x
    x = 651,419.16/914.58
  6. Step 6: Final answer
    x = 712.26

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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.