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Finding the Fourth Proportional to 703.91, 1,053.81 and 556.64

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Solution

The fourth proportional to 703.91, 1,053.81 and 556.64 is: 833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.91 : 1,053.81 = 556.64 : x
  2. Step 2: Convert to fraction form
    703.91/1,053.81 = 556.64/x
  3. Step 3: Cross multiply
    703.91x = 1,053.81 × 556.64
  4. Step 4: Simplify right side
    703.91x = 586,587.53
  5. Step 5: Solve for x
    x = 586,587.53/703.91
  6. Step 6: Final answer
    x = 833.33

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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.