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Finding the Fourth Proportional to 867.96, 1,196.46 and 556.92

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Solution

The fourth proportional to 867.96, 1,196.46 and 556.92 is: 767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.96 : 1,196.46 = 556.92 : x
  2. Step 2: Convert to fraction form
    867.96/1,196.46 = 556.92/x
  3. Step 3: Cross multiply
    867.96x = 1,196.46 × 556.92
  4. Step 4: Simplify right side
    867.96x = 666,332.50
  5. Step 5: Solve for x
    x = 666,332.50/867.96
  6. Step 6: Final answer
    x = 767.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.