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Finding the Fourth Proportional to 1,056.02, 1,584.02 and 286.52

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Solution

The fourth proportional to 1,056.02, 1,584.02 and 286.52 is: 429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.02 : 1,584.02 = 286.52 : x
  2. Step 2: Convert to fraction form
    1,056.02/1,584.02 = 286.52/x
  3. Step 3: Cross multiply
    1,056.02x = 1,584.02 × 286.52
  4. Step 4: Simplify right side
    1,056.02x = 453,850.17
  5. Step 5: Solve for x
    x = 453,850.17/1,056.02
  6. Step 6: Final answer
    x = 429.78

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Why These Related Problems?

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