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Finding the Fourth Proportional to 1,056.03, 1,584.97 and 407.22

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Solution

The fourth proportional to 1,056.03, 1,584.97 and 407.22 is: 611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.03 : 1,584.97 = 407.22 : x
  2. Step 2: Convert to fraction form
    1,056.03/1,584.97 = 407.22/x
  3. Step 3: Cross multiply
    1,056.03x = 1,584.97 × 407.22
  4. Step 4: Simplify right side
    1,056.03x = 645,424.52
  5. Step 5: Solve for x
    x = 645,424.52/1,056.03
  6. Step 6: Final answer
    x = 611.18

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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.