Home / 1,120.08-1,680.35-470.81

Finding the Fourth Proportional to 1,120.08, 1,680.35 and 470.81

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Solution

The fourth proportional to 1,120.08, 1,680.35 and 470.81 is: 706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.08 : 1,680.35 = 470.81 : x
  2. Step 2: Convert to fraction form
    1,120.08/1,680.35 = 470.81/x
  3. Step 3: Cross multiply
    1,120.08x = 1,680.35 × 470.81
  4. Step 4: Simplify right side
    1,120.08x = 791,127.43
  5. Step 5: Solve for x
    x = 791,127.43/1,120.08
  6. Step 6: Final answer
    x = 706.31

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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.