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Finding the Fourth Proportional to 1,059.57, 1,462.31 and 666.51

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Solution

The fourth proportional to 1,059.57, 1,462.31 and 666.51 is: 919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.57 : 1,462.31 = 666.51 : x
  2. Step 2: Convert to fraction form
    1,059.57/1,462.31 = 666.51/x
  3. Step 3: Cross multiply
    1,059.57x = 1,462.31 × 666.51
  4. Step 4: Simplify right side
    1,059.57x = 974,640.91
  5. Step 5: Solve for x
    x = 974,640.91/1,059.57
  6. Step 6: Final answer
    x = 919.85

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Why These Related Problems?

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