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Finding the Fourth Proportional to 1,056.17, 1,584.17 and 286.67

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Solution

The fourth proportional to 1,056.17, 1,584.17 and 286.67 is: 429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.17 : 1,584.17 = 286.67 : x
  2. Step 2: Convert to fraction form
    1,056.17/1,584.17 = 286.67/x
  3. Step 3: Cross multiply
    1,056.17x = 1,584.17 × 286.67
  4. Step 4: Simplify right side
    1,056.17x = 454,132.58
  5. Step 5: Solve for x
    x = 454,132.58/1,056.17
  6. Step 6: Final answer
    x = 429.98

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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.