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Finding the Fourth Proportional to 1,256.70, 1,885.95 and 708.30

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Solution

The fourth proportional to 1,256.70, 1,885.95 and 708.30 is: 1,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.70 : 1,885.95 = 708.30 : x
  2. Step 2: Convert to fraction form
    1,256.70/1,885.95 = 708.30/x
  3. Step 3: Cross multiply
    1,256.70x = 1,885.95 × 708.30
  4. Step 4: Simplify right side
    1,256.70x = 1,335,818.39
  5. Step 5: Solve for x
    x = 1,335,818.39/1,256.70
  6. Step 6: Final answer
    x = 1,062.96

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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.