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Finding the Fourth Proportional to 1,059.57, 1,461.86 and 640.05

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Solution

The fourth proportional to 1,059.57, 1,461.86 and 640.05 is: 883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.57 : 1,461.86 = 640.05 : x
  2. Step 2: Convert to fraction form
    1,059.57/1,461.86 = 640.05/x
  3. Step 3: Cross multiply
    1,059.57x = 1,461.86 × 640.05
  4. Step 4: Simplify right side
    1,059.57x = 935,663.49
  5. Step 5: Solve for x
    x = 935,663.49/1,059.57
  6. Step 6: Final answer
    x = 883.06

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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.