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Finding the Fourth Proportional to 1,386.69, 2,080.13 and 565.01

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Solution

The fourth proportional to 1,386.69, 2,080.13 and 565.01 is: 847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.69 : 2,080.13 = 565.01 : x
  2. Step 2: Convert to fraction form
    1,386.69/2,080.13 = 565.01/x
  3. Step 3: Cross multiply
    1,386.69x = 2,080.13 × 565.01
  4. Step 4: Simplify right side
    1,386.69x = 1,175,295.01
  5. Step 5: Solve for x
    x = 1,175,295.01/1,386.69
  6. Step 6: Final answer
    x = 847.56

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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.