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Finding the Fourth Proportional to 701.65, 1,057.22 and 582.58

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Solution

The fourth proportional to 701.65, 1,057.22 and 582.58 is: 877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.65 : 1,057.22 = 582.58 : x
  2. Step 2: Convert to fraction form
    701.65/1,057.22 = 582.58/x
  3. Step 3: Cross multiply
    701.65x = 1,057.22 × 582.58
  4. Step 4: Simplify right side
    701.65x = 615,914.04
  5. Step 5: Solve for x
    x = 615,914.04/701.65
  6. Step 6: Final answer
    x = 877.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.