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Finding the Fourth Proportional to 705.31, 1,055.91 and 637.65

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Solution

The fourth proportional to 705.31, 1,055.91 and 637.65 is: 954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.31 : 1,055.91 = 637.65 : x
  2. Step 2: Convert to fraction form
    705.31/1,055.91 = 637.65/x
  3. Step 3: Cross multiply
    705.31x = 1,055.91 × 637.65
  4. Step 4: Simplify right side
    705.31x = 673,298.64
  5. Step 5: Solve for x
    x = 673,298.64/705.31
  6. Step 6: Final answer
    x = 954.62

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Why These Related Problems?

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