Home / 1,055.25-1,583.42-470.43

Finding the Fourth Proportional to 1,055.25, 1,583.42 and 470.43

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Solution

The fourth proportional to 1,055.25, 1,583.42 and 470.43 is: 705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.25 : 1,583.42 = 470.43 : x
  2. Step 2: Convert to fraction form
    1,055.25/1,583.42 = 470.43/x
  3. Step 3: Cross multiply
    1,055.25x = 1,583.42 × 470.43
  4. Step 4: Simplify right side
    1,055.25x = 744,885.92
  5. Step 5: Solve for x
    x = 744,885.92/1,055.25
  6. Step 6: Final answer
    x = 705.89

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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.