Home / 1,566.72-2,350.13-470.97

Finding the Fourth Proportional to 1,566.72, 2,350.13 and 470.97

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Solution

The fourth proportional to 1,566.72, 2,350.13 and 470.97 is: 706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.72 : 2,350.13 = 470.97 : x
  2. Step 2: Convert to fraction form
    1,566.72/2,350.13 = 470.97/x
  3. Step 3: Cross multiply
    1,566.72x = 2,350.13 × 470.97
  4. Step 4: Simplify right side
    1,566.72x = 1,106,838.37
  5. Step 5: Solve for x
    x = 1,106,838.37/1,566.72
  6. Step 6: Final answer
    x = 706.47

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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.