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Finding the Fourth Proportional to 855.84, 1,284 and 471.36

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Solution

The fourth proportional to 855.84, 1,284 and 471.36 is: 707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.84 : 1,284 = 471.36 : x
  2. Step 2: Convert to fraction form
    855.84/1,284 = 471.36/x
  3. Step 3: Cross multiply
    855.84x = 1,284 × 471.36
  4. Step 4: Simplify right side
    855.84x = 605,226.24
  5. Step 5: Solve for x
    x = 605,226.24/855.84
  6. Step 6: Final answer
    x = 707.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.