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Finding the Fourth Proportional to 1,056.67, 1,585.02 and 440.20

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Solution

The fourth proportional to 1,056.67, 1,585.02 and 440.20 is: 660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.67 : 1,585.02 = 440.20 : x
  2. Step 2: Convert to fraction form
    1,056.67/1,585.02 = 440.20/x
  3. Step 3: Cross multiply
    1,056.67x = 1,585.02 × 440.20
  4. Step 4: Simplify right side
    1,056.67x = 697,725.80
  5. Step 5: Solve for x
    x = 697,725.80/1,056.67
  6. Step 6: Final answer
    x = 660.31

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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.