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Finding the Fourth Proportional to 912.74, 1,370.93 and 707.76

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Solution

The fourth proportional to 912.74, 1,370.93 and 707.76 is: 1,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.74 : 1,370.93 = 707.76 : x
  2. Step 2: Convert to fraction form
    912.74/1,370.93 = 707.76/x
  3. Step 3: Cross multiply
    912.74x = 1,370.93 × 707.76
  4. Step 4: Simplify right side
    912.74x = 970,285.88
  5. Step 5: Solve for x
    x = 970,285.88/912.74
  6. Step 6: Final answer
    x = 1,063.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.