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Finding the Fourth Proportional to 1,056.39, 1,584.58 and 588.15

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Solution

The fourth proportional to 1,056.39, 1,584.58 and 588.15 is: 882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.39 : 1,584.58 = 588.15 : x
  2. Step 2: Convert to fraction form
    1,056.39/1,584.58 = 588.15/x
  3. Step 3: Cross multiply
    1,056.39x = 1,584.58 × 588.15
  4. Step 4: Simplify right side
    1,056.39x = 931,970.73
  5. Step 5: Solve for x
    x = 931,970.73/1,056.39
  6. Step 6: Final answer
    x = 882.22

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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.