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Finding the Fourth Proportional to 914.07, 1,261.37 and 515.74

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Solution

The fourth proportional to 914.07, 1,261.37 and 515.74 is: 711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.07 : 1,261.37 = 515.74 : x
  2. Step 2: Convert to fraction form
    914.07/1,261.37 = 515.74/x
  3. Step 3: Cross multiply
    914.07x = 1,261.37 × 515.74
  4. Step 4: Simplify right side
    914.07x = 650,538.96
  5. Step 5: Solve for x
    x = 650,538.96/914.07
  6. Step 6: Final answer
    x = 711.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.