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Finding the Fourth Proportional to 705.91, 1,054.57 and 457.08

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Solution

The fourth proportional to 705.91, 1,054.57 and 457.08 is: 682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.91 : 1,054.57 = 457.08 : x
  2. Step 2: Convert to fraction form
    705.91/1,054.57 = 457.08/x
  3. Step 3: Cross multiply
    705.91x = 1,054.57 × 457.08
  4. Step 4: Simplify right side
    705.91x = 482,027.51
  5. Step 5: Solve for x
    x = 482,027.51/705.91
  6. Step 6: Final answer
    x = 682.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.