Home / 1,044.02-1,566.18-313.62

Finding the Fourth Proportional to 1,044.02, 1,566.18 and 313.62

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Solution

The fourth proportional to 1,044.02, 1,566.18 and 313.62 is: 470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.02 : 1,566.18 = 313.62 : x
  2. Step 2: Convert to fraction form
    1,044.02/1,566.18 = 313.62/x
  3. Step 3: Cross multiply
    1,044.02x = 1,566.18 × 313.62
  4. Step 4: Simplify right side
    1,044.02x = 491,185.37
  5. Step 5: Solve for x
    x = 491,185.37/1,044.02
  6. Step 6: Final answer
    x = 470.48

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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.