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Finding the Fourth Proportional to 1,056.82, 1,584.72 and 472

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Solution

The fourth proportional to 1,056.82, 1,584.72 and 472 is: 707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.82 : 1,584.72 = 472 : x
  2. Step 2: Convert to fraction form
    1,056.82/1,584.72 = 472/x
  3. Step 3: Cross multiply
    1,056.82x = 1,584.72 × 472
  4. Step 4: Simplify right side
    1,056.82x = 747,987.84
  5. Step 5: Solve for x
    x = 747,987.84/1,056.82
  6. Step 6: Final answer
    x = 707.77

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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.