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Finding the Fourth Proportional to 1,055.62, 1,584.06 and 470.44

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Solution

The fourth proportional to 1,055.62, 1,584.06 and 470.44 is: 705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.62 : 1,584.06 = 470.44 : x
  2. Step 2: Convert to fraction form
    1,055.62/1,584.06 = 470.44/x
  3. Step 3: Cross multiply
    1,055.62x = 1,584.06 × 470.44
  4. Step 4: Simplify right side
    1,055.62x = 745,205.19
  5. Step 5: Solve for x
    x = 745,205.19/1,055.62
  6. Step 6: Final answer
    x = 705.94

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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.