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Finding the Fourth Proportional to 707.40, 1,060.83 and 296.43

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Solution

The fourth proportional to 707.40, 1,060.83 and 296.43 is: 444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.40 : 1,060.83 = 296.43 : x
  2. Step 2: Convert to fraction form
    707.40/1,060.83 = 296.43/x
  3. Step 3: Cross multiply
    707.40x = 1,060.83 × 296.43
  4. Step 4: Simplify right side
    707.40x = 314,457.86
  5. Step 5: Solve for x
    x = 314,457.86/707.40
  6. Step 6: Final answer
    x = 444.53

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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.