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Finding the Fourth Proportional to 804.38, 1,206.58 and 556.81

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Solution

The fourth proportional to 804.38, 1,206.58 and 556.81 is: 835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.38 : 1,206.58 = 556.81 : x
  2. Step 2: Convert to fraction form
    804.38/1,206.58 = 556.81/x
  3. Step 3: Cross multiply
    804.38x = 1,206.58 × 556.81
  4. Step 4: Simplify right side
    804.38x = 671,832.45
  5. Step 5: Solve for x
    x = 671,832.45/804.38
  6. Step 6: Final answer
    x = 835.22

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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.