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Finding the Fourth Proportional to 1,386.71, 2,080.23 and 509.11

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Solution

The fourth proportional to 1,386.71, 2,080.23 and 509.11 is: 763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.71 : 2,080.23 = 509.11 : x
  2. Step 2: Convert to fraction form
    1,386.71/2,080.23 = 509.11/x
  3. Step 3: Cross multiply
    1,386.71x = 2,080.23 × 509.11
  4. Step 4: Simplify right side
    1,386.71x = 1,059,065.90
  5. Step 5: Solve for x
    x = 1,059,065.90/1,386.71
  6. Step 6: Final answer
    x = 763.73

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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.